Physics-
General
Easy

Question

A particle starts from a point P at a distance of A/2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of motion of particle is :

  1. x equals A s i n invisible function application open parentheses fraction numerator 2 pi over denominator T end fraction t plus fraction numerator pi over denominator 6 end fraction close parentheses    
  2. x equals A s i n invisible function application open parentheses fraction numerator 2 pi over denominator T end fraction t plus fraction numerator 5 pi over denominator 6 end fraction close parentheses    
  3. x equals A c o s invisible function application open parentheses fraction numerator 2 pi over denominator T end fraction t plus fraction numerator pi over denominator 6 end fraction close parentheses    
  4. x equals A c o s invisible function application open parentheses fraction numerator 2 pi over denominator T end fraction t plus fraction numerator pi over denominator 3 end fraction close parentheses    

The correct answer is: x equals A s i n invisible function application open parentheses fraction numerator 2 pi over denominator T end fraction t plus fraction numerator 5 pi over denominator 6 end fraction close parentheses

Related Questions to study

General
physics-

The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:

The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:

physics-General
General
physics-

For a particle executing S.H.M., x = displacement from equilibrium position, v = velocity at any instant and a = acceleration at any instant, then

For a particle executing S.H.M., x = displacement from equilibrium position, v = velocity at any instant and a = acceleration at any instant, then

physics-General
General
physics-

The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?

The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?

physics-General
parallel
General
physics-

A block is placed on a horizontal plank. The plank is performing SHM along a vertical line with amplitude of 40cm. The block just loses contact with the plank when the plank is momentarily at rest. Then:

A block is placed on a horizontal plank. The plank is performing SHM along a vertical line with amplitude of 40cm. The block just loses contact with the plank when the plank is momentarily at rest. Then:

physics-General
General
physics-

A 2 Kg block moving with 10 m/s strikes a spring of constant pi to the power of 2 end exponent N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be

A 2 Kg block moving with 10 m/s strikes a spring of constant pi to the power of 2 end exponent N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be

physics-General
General
physics-

A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is

A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is

physics-General
parallel
General
physics-

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta, find the period of oscillations:

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta, find the period of oscillations:

physics-General
General
physics-

Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time

Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time

physics-General
General
physics-

A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is

A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is

physics-General
parallel
General
physics-

Find the ratio of time periods of two identical springs if they are first joined in series & then in parallel & a mass m is suspended from them :

Find the ratio of time periods of two identical springs if they are first joined in series & then in parallel & a mass m is suspended from them :

physics-General
General
maths-

Let u(x) be a twice differenctiable function defined in 0 less or equal than x less or equal than 1 comma holds the relation u to the power of ´ ´ end exponent left parenthesis x right parenthesis equals e to the power of x end exponent u left parenthesis x right parenthesis text  in  end text x element of left square bracket 0 , 1 right square bracket. text  If  end text 0 less than x subscript 0 end subscript less than 1 comma then

Let u(x) be a twice differenctiable function defined in 0 less or equal than x less or equal than 1 comma holds the relation u to the power of ´ ´ end exponent left parenthesis x right parenthesis equals e to the power of x end exponent u left parenthesis x right parenthesis text  in  end text x element of left square bracket 0 , 1 right square bracket. text  If  end text 0 less than x subscript 0 end subscript less than 1 comma then

maths-General
General
maths-

If f open parentheses x close parentheses equals fraction numerator x to the power of 2 end exponent minus 1 over denominator x to the power of 2 end exponent plus 1 end fraction comma for every real number, then minimum value of f

If f open parentheses x close parentheses equals fraction numerator x to the power of 2 end exponent minus 1 over denominator x to the power of 2 end exponent plus 1 end fraction comma for every real number, then minimum value of f

maths-General
parallel
General
maths-

The maximum value of the function f left parenthesis x right parenthesis equals fraction numerator left parenthesis 1 plus x right parenthesis to the power of 0.6 end exponent over denominator 1 plus x to the power of 0.6 end exponent end fraction in the interval [0, 1] is

The maximum value of the function f left parenthesis x right parenthesis equals fraction numerator left parenthesis 1 plus x right parenthesis to the power of 0.6 end exponent over denominator 1 plus x to the power of 0.6 end exponent end fraction in the interval [0, 1] is

maths-General
General
maths-

How many real values of x satisfy the inequaligy e to the power of x end exponent less or equal than x plus 1?

How many real values of x satisfy the inequaligy e to the power of x end exponent less or equal than x plus 1?

maths-General
General
maths-

If f(x) is a differentiable real valued function satisfying f to the power of ´ ´ end exponent left parenthesis x right parenthesis minus 3 f to the power of ´ end exponent left parenthesis x right parenthesis greater than 3 for all x greater or equal than 0 and f to the power of ´ left parenthesis 0 right parenthesis equals negative 1 comma then f left parenthesis x right parenthesis plus x for all x greater than 0 is

If f(x) is a differentiable real valued function satisfying f to the power of ´ ´ end exponent left parenthesis x right parenthesis minus 3 f to the power of ´ end exponent left parenthesis x right parenthesis greater than 3 for all x greater or equal than 0 and f to the power of ´ left parenthesis 0 right parenthesis equals negative 1 comma then f left parenthesis x right parenthesis plus x for all x greater than 0 is

maths-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.