A cylinder of mass M, of radius R, and of length L such that, L = 6R is hinged at point A in vertical position. It suddenly starts to rotate about the hinge at A with an initial angular speed of wo. Determine the support reactions at A in normal and tangential directions when the cylinder is in horizontal position.
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).
. A cylinder of mass M, of radius R, and of length
L such that, L = 6R is hinged at point A in vertical
position. It suddenly starts to rotate about the
hinge at A with an initial angular speed of wo.
Determine the support reactions at A in normal
and tangential directions when the cylinder is in
horizontal position.
![y
Wo
A
L = 6R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35faaad7-9faa-41f2-9a9c-82b65d393bfa%2Fb6eba95c-478a-4f51-8076-b3dc6235dbf4%2Fwm2pcbk_processed.png&w=3840&q=75)
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