Find the angular velocity and angular acceleration of disc B shown below, which is spinning at the constant rate of ω2 = 90/π rpm. The disc is attached to collar A, which is rotating at the angular speed of ω1 = 5/π rpm, with the angular speed increasing at 0.5/π rpm/sec. Rod AB which connects the disc to the collar is pinned to the collar at A. The rod makes an angle of θ = 300 with the vertical, which is increasing at a constant rate of (20/π)degree/sec. Express the use the image to solve the questions i) Angular velocity ii) Acceleration of the disc in terms of a reference frame attached to the collar.
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).
Find the
constant rate of (20/π)degree/sec.
Express the
use the image to solve the questions
i) Angular velocity
ii) Acceleration of the disc in terms of a reference frame attached to the collar.
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