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Mechanics
Physics

A thin uniform rod of mass m and length ell is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Then immediately after impact -

A thin uniform rod of mass m and length ell is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point, normal to its length. Then immediately after impact -

PhysicsMechanics
Mechanics
Physics

Two identical spheres move in opposite directions with speeds v1 and v2 and pass behind an opaque screen, where they may either cross without touching (event 1) or make an elastic head-on collision (event 2) -

Two identical spheres move in opposite directions with speeds v1 and v2 and pass behind an opaque screen, where they may either cross without touching (event 1) or make an elastic head-on collision (event 2) -

PhysicsMechanics
Mechanics
Physics

A cylinder is rolling over frictionless horizontal surface with velocity v0 as shown in figure. Coefficient of friction between wall and cylinder is mu equals 1 fourth. If the collision between cylinder and wall is completely inelastic, then kinetic energy of cylinder after collision –

A cylinder is rolling over frictionless horizontal surface with velocity v0 as shown in figure. Coefficient of friction between wall and cylinder is mu equals 1 fourth. If the collision between cylinder and wall is completely inelastic, then kinetic energy of cylinder after collision –

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Mechanics
Physics

A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts for a time straight capital delta straight t.

A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts for a time straight capital delta straight t.

PhysicsMechanics
Mechanics
Physics

A ball falls from a height of 5m and strikes a lift which is moving in the upward direction with a velocity of 1m/s, then the velocity with which the ball rebounds after collision will be -

A ball falls from a height of 5m and strikes a lift which is moving in the upward direction with a velocity of 1m/s, then the velocity with which the ball rebounds after collision will be -

PhysicsMechanics
Mechanics
Physics

Two particles A and B each of mass m are attached by a light inextensible string of length 2 ell. The whole system lies on a smooth horizontal table with B initially at a distance ell from A. The particle at end B is projected across the table with speed u perpendicular to AB. Velocity of ball A just after the string is taut, is

Two particles A and B each of mass m are attached by a light inextensible string of length 2 ell. The whole system lies on a smooth horizontal table with B initially at a distance ell from A. The particle at end B is projected across the table with speed u perpendicular to AB. Velocity of ball A just after the string is taut, is

PhysicsMechanics
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Mechanics
Physics

A ball of mass m approaches a wall of mass M (>> m) with speed 4 m/s along the normal to the wall. The speed of wall is 1m/s towards the ball. The speed of the ball after an elastic collision with the wall is -

A ball of mass m approaches a wall of mass M (>> m) with speed 4 m/s along the normal to the wall. The speed of wall is 1m/s towards the ball. The speed of the ball after an elastic collision with the wall is -

PhysicsMechanics
Mechanics
Physics

A projectile of mass m is thrown with velocity v making an angle of 30° with vertical. Neglecting air resistance the magnitude of change in momentum between the starting point and at the maximum height is

A projectile of mass m is thrown with velocity v making an angle of 30° with vertical. Neglecting air resistance the magnitude of change in momentum between the starting point and at the maximum height is

PhysicsMechanics
Mechanics
Physics

Particle A makes a perfectly elastic head-on collision with another stationary particle B. They fly apart in opposite directions with equal velocities. Ratio of their masses M subscript A over M subscript B will be

Particle A makes a perfectly elastic head-on collision with another stationary particle B. They fly apart in opposite directions with equal velocities. Ratio of their masses M subscript A over M subscript B will be

PhysicsMechanics
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Mechanics
Physics

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the time after which sphere is in pure rolling motion.

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the time after which sphere is in pure rolling motion.

PhysicsMechanics
Mechanics
Physics

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Which graph shows variation of velocity of centre of mass of sphere with time?

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Which graph shows variation of velocity of centre of mass of sphere with time?

PhysicsMechanics
Mechanics
Physics

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the angular velocity of sphere just after impulse is applied.

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2, open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the angular velocity of sphere just after impulse is applied.

PhysicsMechanics
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Mechanics
Physics

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the velocity of centre of mass of the sphere just after impulse applied.

A uniform solid sphere of mass m and radius R is kept on the rough horizontal surface with co-efficient of friction mu= 1/3 as shown in figure. An impulse of J equals m v subscript 0 is applied tangentially on the sphere at an angle 37° with the horizontal as shown in the figure. (assuming  J >> mgdt, g = 10 m/s2open tan invisible function application 37 to the power of ring operator equals 3 divided by 4 close parentheses )

Find the velocity of centre of mass of the sphere just after impulse applied.

PhysicsMechanics
Mechanics
Physics

If spring break when velocity of m2 is fraction numerator 3 v subscript 0 over denominator 4 end fraction the velocity of other block will be

If spring break when velocity of m2 is fraction numerator 3 v subscript 0 over denominator 4 end fraction the velocity of other block will be

PhysicsMechanics
Mechanics
Physics

Two blocks of masses m1 and m2 are connected by a spring of spring constant k. The block of mass m2 is given a sharp impulse so that it acquires a velocity v0 toward right. Velocity of centre of mass will be

Two blocks of masses m1 and m2 are connected by a spring of spring constant k. The block of mass m2 is given a sharp impulse so that it acquires a velocity v0 toward right. Velocity of centre of mass will be

PhysicsMechanics
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