Physics-
General
Easy

Question

Consider a sphere of mass ‘m’ radius ‘R’ doing pure rolling motion on a rough surface having velocity v0 rho as shown in the Figure. It makes an elastic impact with the smooth wall and moves back and starts pure rolling after some time again

  1. Change in angular momentum about ‘O’ in the entire motion equals 2mv0R in magnitude    
  2. Moment of impulse provided by the wall during impact about O equals 2mv0R in magnitude    
  3. Final velocity of ball will be fraction numerator 3 over denominator 7 end fraction stack v with rightwards arrow on top subscript 0 end subscript    
  4. Final velocity of ball will be negative fraction numerator 3 over denominator 7 end fraction stack v with rightwards arrow on top subscript 0 end subscript    

The correct answer is: Change in angular momentum about ‘O’ in the entire motion equals 2mv0R in magnitude

Related Questions to study

General
physics-

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct alternative(s)

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct alternative(s)

physics-General
General
physics-

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

physics-General
General
physics-

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

physics-General
parallel
General
physics-

A ring of mass M and radius R sliding with a velocity v0 suddenly enters rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

A ring of mass M and radius R sliding with a velocity v0 suddenly enters rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct statement(s)

physics-General
General
physics-

In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then

In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then

physics-General
General
physics-

A hollow sphere of radius R and mass m is fully filled with water of mass m. It is rolled down a horizontal plane such that its centre of mass moves with a velocity v. If it purely rolls

A hollow sphere of radius R and mass m is fully filled with water of mass m. It is rolled down a horizontal plane such that its centre of mass moves with a velocity v. If it purely rolls

physics-General
parallel
General
physics-

A plank with a uniform sphere placed on it, rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If the sphere does not slip over the plank

A plank with a uniform sphere placed on it, rests on a smooth horizontal plane. Plank is pulled to right by a constant force F. If the sphere does not slip over the plank

physics-General
General
physics-

A disc of circumference s is at rest at a point A on a horizontal surface when a constant horizontal force begins to act on its centre. Between A and B there is sufficient friction to prevent slipping, and the surface is smooth to the right of B. AB = s. The disc moves from A to B in time T. To the right of B

A disc of circumference s is at rest at a point A on a horizontal surface when a constant horizontal force begins to act on its centre. Between A and B there is sufficient friction to prevent slipping, and the surface is smooth to the right of B. AB = s. The disc moves from A to B in time T. To the right of B

physics-General
General
physics-

Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then

Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then

physics-General
parallel
General
physics-

A body is in equilibrium under the influence of a number of forces. Each force has a different line of action. The minimum number of forces required is

A body is in equilibrium under the influence of a number of forces. Each force has a different line of action. The minimum number of forces required is

physics-General
General
physics-

ABCD is a square plate with centre O. The moments of inertia of the plate about the perpendicular axis through O is I and about the axes 1, 2, 3 & 4 are I subscript 1 end subscript comma I subscript 2 end subscript comma I subscript 3 end subscript & I subscript 4 end subscript respectively. It follows that

ABCD is a square plate with centre O. The moments of inertia of the plate about the perpendicular axis through O is I and about the axes 1, 2, 3 & 4 are I subscript 1 end subscript comma I subscript 2 end subscript comma I subscript 3 end subscript & I subscript 4 end subscript respectively. It follows that

physics-General
General
physics-

A uniform rod of mass M is hinged at its upper end. A particle of mass m moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision find the value of M/m =?

A uniform rod of mass M is hinged at its upper end. A particle of mass m moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision find the value of M/m =?

physics-General
parallel
General
physics-

A uniform rod AB of length L and mass M is lying on a smooth table. A small particle of mass m strike the rod with a velocity v0 at point C a distance x from the centre O. The particle comes to rest after collision. The value of x, so that point A of the rod remains stationary just after collision, is :

A uniform rod AB of length L and mass M is lying on a smooth table. A small particle of mass m strike the rod with a velocity v0 at point C a distance x from the centre O. The particle comes to rest after collision. The value of x, so that point A of the rod remains stationary just after collision, is :

physics-General
General
physics-

Two particles of equal mass m at A and B are connected by a rigid light rod AB lying on a smooth horizontal table. An impulse J is applied at A in the plane of the table and perpendicular at AB. Then the velocity of particle at A is

Two particles of equal mass m at A and B are connected by a rigid light rod AB lying on a smooth horizontal table. An impulse J is applied at A in the plane of the table and perpendicular at AB. Then the velocity of particle at A is

physics-General
General
physics-

A uniform rod AB of length L and mass M is lying on a smooth table. A small particle of mass m strike the rod with a velocity v0 at point C at a distance x from the centre O. The particle comes to rest after collision. The value of x, so that point A of the rod remains stationary just after collision is:

A uniform rod AB of length L and mass M is lying on a smooth table. A small particle of mass m strike the rod with a velocity v0 at point C at a distance x from the centre O. The particle comes to rest after collision. The value of x, so that point A of the rod remains stationary just after collision 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.