uniform rod of mass 3.4 kg is 4 m long. The rod is pivoted about a horizontal, frictionless pin at the end of a thin extension (of negligible mass) at a distance 4 m from the center of mass of the rod. The rod is released from rest at an initial angle of 70◦ with respect to the horizontal, as shown. What is the angular speed of the rod at the instant the rod is in a horizontal position? The acceleration due to gravity is 9.8 m/s2 and the momen
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 uniform rod of mass 3.4 kg is 4 m long. The rod is pivoted about a horizontal, frictionless pin at the end of a thin extension (of negligible mass) at a distance 4 m from the center of mass of the rod. The rod is released from rest at an initial angle of 70◦ with respect to the horizontal, as shown.
What is the angular speed of the rod at the instant the rod is in a horizontal position? The acceleration due to gravity is 9.8 m/s2 and the moment of inertia of the rod about its center of mass is Icm = 1/12 mℓ2.
Answer in units of rad/s.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
