Problem 9.5 Consider an arbitrarily shaped object undergoing a rotational motion in the xy-plane (Fig. 9.36). Let O be a point in the xy-plane along the axis of rotation, and P, N, and M are fixed points on the object located at distances r, 0.5 r, and 0.25 r, respectively. Due to the rotational motion of the object, points P, N, and M will move along their circular path. T. P M If the linear velocity of point P is vp distance r = OP = 1.2 m from the axis of rotation, determine the magnitude of angular velocity of points P, N, and M, and the magnitude of the linear velocity of points N and M. = 4.5 m/sand it is located at Answers: Op = @N = @M = 3.75 rad/s; UN = 2.25 m/s; vM = 1.125 m/s g. 9.36 Problem 9.5
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).
Trending now
This is a popular solution!
Step by step
Solved in 2 steps