Physics
Mechanics
Easy

Question

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 -

  1. the angular momentum of the rod is straight J ell
  2. the linear velocity of the midpoint of rod is fraction numerator 3 straight J over denominator 2 straight m end fraction
  3. the kinetic energy of the rod is fraction numerator 3 straight J squared over denominator 2 straight m end fraction  
  4. the angular velocity of the rod is fraction numerator 3 straight J over denominator straight m ell end fraction

The correct answers are: the angular momentum of the rod is straight J ell, the angular velocity of the rod is fraction numerator 3 straight J over denominator straight m ell end fraction, the kinetic energy of the rod is fraction numerator 3 straight J squared over denominator 2 straight m end fraction


    Related Questions to study

    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 –

    PhysicsMechanics
    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
    parallel
    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
    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
    parallel
    Mechanics
    Physics

    A 3 kg ball strikes a heavy rigid wall with a speed of 10 m/s at an angle of 60° with the wall. It gets reflected with the same speed at 60° with the wall. If the ball is in contact with the wall for 0.2 s, the average force exerted on the ball by the wall is

    A 3 kg ball strikes a heavy rigid wall with a speed of 10 m/s at an angle of 60° with the wall. It gets reflected with the same speed at 60° with the wall. If the ball is in contact with the wall for 0.2 s, the average force exerted on the ball by 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
    parallel
    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
    parallel
    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

    Find maximum elongation of spring

    Find maximum elongation of spring

    PhysicsMechanics
    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.