(II) A dad pushes tangentially on a small hand-drivenmerry-go-round and is able to accelerate it from rest to afrequency of 15 rpm in 10.0 s. Assume the merry-go-roundis a uniform disk of radius 2.5 m and has a mass of 560 kg,and two children (each with a mass of 25 kg) sit oppositeeach other on the edge. Calculate the torque requiredto produce the acceleration, neglecting frictional torque.What force is required at the edge?
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).
(II) A dad pushes tangentially on a small hand-driven
merry-go-round and is able to accelerate it from rest to a
frequency of 15 rpm in 10.0 s. Assume the merry-go-round
is a uniform disk of radius 2.5 m and has a mass of 560 kg,
and two children (each with a mass of 25 kg) sit opposite
each other on the edge. Calculate the torque required
to produce the acceleration, neglecting frictional torque.
What force is required at the edge?
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