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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?

पर्याय

  • 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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पाठ 5: Motion of System of Particles and Rigid Bodies - Evaluation [पृष्ठ २६०]

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

संबंधित प्रश्‍न

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A particle of mass m is projected with a speed u at an angle θ with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point.


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 flywheel of moment of inertia 5⋅0 kg-m2 is rotated at a speed of 60 rad/s. Because of the friction at the axle it comes to rest in 5⋅0 minutes. Find (a) the average torque of the friction (b) the total work done by the friction and (c) the angular momentum of the wheel 1 minute before it stops rotating.


A uniform cube of mass m and side a is placed on a frictionless horizontal surface. A vertical force F is applied to the edge as shown in figure. Match the following (most appropriate choice):

(a) mg/4 < F < mg/2 (i) Cube will move up.
(b) F > mg/2 (ii) Cube will not exhibit motion.
(c) F > mg (iii) Cube will begin to rotate and slip at A.
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  1. Does the law of conservation of angular momentum apply to the situation? why?
  2. Find the angular speed of the two-disc system.
  3. Calculate the loss in kinetic energy of the system in the process.
  4. Account for this loss.

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`vecr  = 10alphat^2hati + 5beta(t - 5)hatj`

Where α and β are dimensional constants.

The angular momentum of the particle becomes the same as it was for t = 0 at time t = ______ seconds.


The magnitude of the torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians) ______.


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