In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 3.50 m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. (a) At how many rpm must the disk turn to raise the elevator at 25.0 cm/s? (b) To start the elevator moving, it must be accelerated at 19g. What must be the angular acceleration of the disk, in rad/s2?

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Q: A stone of mass 800.0 g is fastened to a string of length 75.0 cm which would break when the tension…

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Q: A string under a tension of 59.0 N is used to whirl a rock in a hortzontal circle of radius 2.45 m…

A: Here is the answer and explaination in the given image

Q: A 70 kg motorcyclist turns along a circular arc of radius 80 m, at a speed of 23 m/s. At what angle…

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A: Given,mass of the rock, m = 1.1 kglength of the string, L = 2.4 mangular velocity of the rock, ω =…

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Q: A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend…

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Q: A carousel with an angular speed of 0.25 rev/s.  As it is brought to rest with a constant…

A: An angular speed, ω=0.25 ravs=0.25×2π rads=1.57 rads and ω0=0. Time, θ=6.5 rev=6.5×2π rad=40.82 rad…

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A: mass (m) = 0.74 kg radius (r) = 0.67 m distance of rotation axis from the center of the hoop (d) =…

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A:

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Q: 250 g , 25-cm diameter plastic disk is spun on an axle through its center by an electric motor. What…

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A: mass, m = 1.19 kg  radius, r = 1.334 m  Tension, T = 45 N

Q: The ball rolls without slipping up the incline and continues rolling at a constant but lower speed.…

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A: Given that, mass of the hula hoop is m=0.72kg and the radius is R=0.65m and the distance from the…

Q: A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend…

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Q: The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose this antelope runs…

A: Given, Mass=2.5kg Radius=35m Force=8.8N

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).