Maths-
General
Easy

Question

A weight of 10 N is hanged by two ropes as shown in fig., the tensions T subscript 1 end subscriptand T subscript 2 end subscriptare

  1. 5 N comma 5 square root of 3 N    
  2. 5 square root of 3 N comma 5 N    
  3. 5 N comma 5 N    
  4. 5 square root of 3 N comma 5 square root of 3 N    

The correct answer is: 5 square root of 3 N comma 5 N


    According to given fig.,
    T subscript 1 end subscript cos invisible function application 3 0 to the power of o end exponent plus T subscript 2 end subscript cos invisible function application 6 0 to the power of o end exponent equals 10 ..…(i)
    and T subscript 2 end subscript cos invisible function application 3 0 to the power of o end exponent equals T subscript 1 end subscript cos invisible function application 6 0 to the power of o end exponent ..…(ii)
    Solving (i) and (ii), we get T subscript 1 end subscript equals 5 square root of 3 N comma T subscript 2 end subscript equals 5 N.

    Related Questions to study

    General
    maths-

    If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b) straight there exists space straight c element of (a, b) then open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals

    If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b) straight there exists space straight c element of (a, b) then open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals

    maths-General
    General
    maths-

    Statement - I : An equation of a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the end text ellipse 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text  is  end text y equals 2 x plus 2 square root of 3
    Statement - II : If the line y equals m x plus fraction numerator 4 square root of 3 over denominator m end fraction (m not equal to 0 ) is a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the ellipse  end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then  end text m text  satisfies  end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24

    Statement - I : An equation of a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the end text ellipse 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text  is  end text y equals 2 x plus 2 square root of 3
    Statement - II : If the line y equals m x plus fraction numerator 4 square root of 3 over denominator m end fraction (m not equal to 0 ) is a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the ellipse  end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then  end text m text  satisfies  end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24

    maths-General
    General
    chemistry-

    Equilibrium constant of some reactions are given as under

    Equilibrium constant of some reactions are given as under

    chemistry-General
    parallel
    General
    physics-

    Two concentric shells of masses M subscript 1 end subscript and M subscript 2 end subscript are having radii r subscript 1 end subscript and r subscript 2 end subscript . Which of the following is the correct expression for the gravitational field at a distance r :–

    Two concentric shells of masses M subscript 1 end subscript and M subscript 2 end subscript are having radii r subscript 1 end subscript and r subscript 2 end subscript . Which of the following is the correct expression for the gravitational field at a distance r :–

    physics-General
    General
    physics-

    Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :

    Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :

    physics-General
    General
    physics-

    Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth

    Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth

    physics-General
    parallel
    General
    physics-

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The net force of the friction on the rear wheel due to the road is :

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The net force of the friction on the rear wheel due to the road is :

    physics-General
    General
    chemistry-

    In a mixture of A and B, components show negative deviation when -

    In a mixture of A and B, components show negative deviation when -

    chemistry-General
    General
    physics-

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The speed of the bicycle is

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The speed of the bicycle is

    physics-General
    parallel
    General
    physics-

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The power delivered by the cyclist is equal to

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The power delivered by the cyclist is equal to

    physics-General
    General
    physics-

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. Net torque on the rear wheel of the bicycle is equal to

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. Net torque on the rear wheel of the bicycle is equal to

    physics-General
    General
    physics-

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant, and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The tension in the upper portion of the chain is equal to

    A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant, and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The tension in the upper portion of the chain is equal to

    physics-General
    parallel
    General
    physics-

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Total kinetic energy of the system, just after the collision is

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Total kinetic energy of the system, just after the collision is

    physics-General
    General
    physics-

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Angular velocity of the rod about centre of mass of the system is

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Angular velocity of the rod about centre of mass of the system is

    physics-General
    General
    physics-

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Velocity of the centre of mass of the system is

    A uniform bar of length 6 a & mass 8m lies on a smooth horizontal table. Two-point masses m & 2 m moving in the same horizontal plane with speeds 2 v and v respectively strike the bar as shown in the figure & stick to the bar after collision. Velocity of the centre of mass of the system is

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.