Physics-
General
Easy

Question

A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speeds 2v and v, respectively, strike the bar and stick to the bar after collision. Then the angular velocity of the bar (about the centre of mass) is –

  1. zero  
  2. 2v / 3a  
  3. v / 5a  
  4. 3v / 5a  

The correct answer is: v / 5a

Related Questions to study

General
Physics-

A uniform meter stick of mass M is hinged at one end and supported in a horizontal position by a string attached to the other end as shown in figure. If the string is cut, then the initial angular acceleration of the stick is-

A uniform meter stick of mass M is hinged at one end and supported in a horizontal position by a string attached to the other end as shown in figure. If the string is cut, then the initial angular acceleration of the stick is-
Physics-General

General
Physics-

A circular wooden hoop of mass m and radius R rest on a horizontal frictionless surface. A bullet, also of mass m and moving with a velocity V, strikes the hoop and get embedded in it. The thickness of the is much smaller than R. The angular velocity with which the system rotates after bullet strikes the hoop is –

A circular wooden hoop of mass m and radius R rest on a horizontal frictionless surface. A bullet, also of mass m and moving with a velocity V, strikes the hoop and get embedded in it. The thickness of the is much smaller than R. The angular velocity with which the system rotates after bullet strikes the hoop is –
Physics-General

General
General

A reaction proceeds by first order, 75% of this reaction was completed in 32 min. the time required for 50% completion is

A reaction proceeds by first order, 75% of this reaction was completed in 32 min. the time required for 50% completion is

GeneralGeneral
parallel
General
General

 The rate of first order reaction, 𝐴 ⟶ Products, is 7.5 × 10−4mol litre−1sec−1. If the concentration of 𝐴 is 0.5 mol litre−1 the rate constant is:

 The rate of first order reaction, 𝐴 ⟶ Products, is 7.5 × 10−4mol litre−1sec−1. If the concentration of 𝐴 is 0.5 mol litre−1 the rate constant is:

GeneralGeneral
General
Physics-

A vertical loop of radius R and mass rolls without slipping on horizontal circular tracks of radius R with velocity v as shown. The total kinetic energy of the loop is –

A vertical loop of radius R and mass rolls without slipping on horizontal circular tracks of radius R with velocity v as shown. The total kinetic energy of the loop is –
Physics-General

General
Physics-

A thin circular ring of mass M and radius r is rotating about the axis with angular speed . Two particles having mass m each are now attached at diametrically opposite points. the angular speed of the ring wire become –

A thin circular ring of mass M and radius r is rotating about the axis with angular speed . Two particles having mass m each are now attached at diametrically opposite points. the angular speed of the ring wire become –

Physics-General
parallel
General
Physics-

Uniform cylinder rolls from rest down the side of a through whose vertical dimension y is given by the equation y = kx2. The cylinder does not slip from A to B but the surface of trough is frictionless from B to C. Then height of ascent of cylinder towards C is –

Uniform cylinder rolls from rest down the side of a through whose vertical dimension y is given by the equation y = kx2. The cylinder does not slip from A to B but the surface of trough is frictionless from B to C. Then height of ascent of cylinder towards C is –
Physics-General

General
Physics-

A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –

A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –
Physics-General

General
Physics-

The minimum value of F for which the cube(a) begins to topple about an edge is–

The minimum value of F for which the cube(a) begins to topple about an edge is–
Physics-General

parallel
General
Physics-

A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

Physics-General
General
Physics-

The rope shown in figure is wound around a cylinder of mass 4 kg and I = 0.02 kg m2, about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is –

The rope shown in figure is wound around a cylinder of mass 4 kg and I = 0.02 kg m2, about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is –
Physics-General

General
Physics-

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through O. The rod is allowed to rotate from rest from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle  is –

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through O. The rod is allowed to rotate from rest from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle  is –
Physics-General

parallel
General
Physics-

A uniform circular disc placed on a rough horizontal surface is initially given a velocity v0 and angular velocity 0 as shown in figure. The disc comes to rest after moving some distance in the direction of motion. Then fraction numerator v subscript 0 end subscript over denominator r omega subscript 0 end subscript end fractionis -

A uniform circular disc placed on a rough horizontal surface is initially given a velocity v0 and angular velocity 0 as shown in figure. The disc comes to rest after moving some distance in the direction of motion. Then fraction numerator v subscript 0 end subscript over denominator r omega subscript 0 end subscript end fractionis -
Physics-General

General
Physics-

At any time t, a particle of mass 0.01 kg has the position vector stack r with rightwards arrow on top= 3 cos stack i with hat on top + 4 sin stack j with hat on top. If its angular momentum with respect to origin is 0.6stack k with hat on topkg m2s–1 and remain constant then angle covered by the position vector of particle in time interval t is –

At any time t, a particle of mass 0.01 kg has the position vector stack r with rightwards arrow on top= 3 cos stack i with hat on top + 4 sin stack j with hat on top. If its angular momentum with respect to origin is 0.6stack k with hat on topkg m2s–1 and remain constant then angle covered by the position vector of particle in time interval t is –

Physics-General
General
General

For a first order reaction the graph log [𝐴] 𝑣𝑠 𝑡 is given below

 is equal to

For a first order reaction the graph log [𝐴] 𝑣𝑠 𝑡 is given below

 is equal to

GeneralGeneral
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.