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A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

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प्रश्न

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

विकल्प

  • 0.25 rad s–2

  • 25 rad s–2

  • 5 m s–2

  • 25 m s–2

MCQ
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उत्तर

25 rad s–2

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Motion of System of Particles and Rigid Bodies - Evaluation [पृष्ठ २६०]

APPEARS IN

सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 5 Motion of System of Particles and Rigid Bodies
Evaluation | Q I. 4. | पृष्ठ २६०

संबंधित प्रश्न

Find the components along the x, y, z axes of the angular momentum of a particle, whose position vector is with components x, y, z and momentum is with components px, py and 'p_z`. Show that if the particle moves only in the x-y plane the angular momentum has only a z-component.


Two particles, each of mass m and speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the angular momentum vector of the two particle system is the same whatever be the point about which the angular momentum is taken.


Explain why friction is necessary to make the disc in Figure roll in the direction indicated

(a) Give the direction of frictional force at B, and the sense of frictional torque, before perfect rolling begins.

(b) What is the force of friction after perfect rolling begins?


A body is in translational equilibrium under the action of coplanar forces. If the torque of these forces is zero about a point, is it necessary that it will also be zero about any other point?


Equal torques act on the disc A and B of the previous problem, initially both being at rest. At a later instant, the linear speeds of a point on the rim of A and another point on the rim of B are \[\nu_A\] and \[\nu_B\] respectively. We have


A simple pendulum of length l is pulled aside to make an angle θ with the vertical. Find the magnitude of the torque of the weight ω of the bob about the point of suspension. When is the torque zero?


A cubical block of mass m and edge a slides down a rough inclined plane of inclination θ with a uniform speed. Find the torque of the normal force acting on the block about its centre.


What are the conditions in which force can not produce torque?


Choose the correct alternatives:

  1. For a general rotational motion, angular momentum L and angular velocity ω need not be parallel.
  2. For a rotational motion about a fixed axis, angular momentum L and angular velocity ω are always parallel.
  3. For a general translational motion , momentum p and velocity v are always parallel.
  4. For a general translational motion, acceleration a and velocity v are always parallel.

A rod of mass 'm' hinged at one end is free to rotate in a horizontal plane. A small bullet of mass m/4 travelling with speed 'u' hits the rod and attaches to it at its centre. Find the angular speed of rotation of rod just after the bullet hits the rod 3. [take length of the rod as 'l']


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