A hammer is made of a solid sphere and a solid rod of negligible mass attached to the sphere. The radius of the sphere is R=25.0 cm and its mass is m=0.200 kg. The distance from the center of the sphere to the pivot is l=0.800 m. The hammer is released from it is initial position at the angle p=45° with the vertical direction (see Figure below). Find the velocity of its center of mass at the lowest point. The moment of inertia of a solid sphere is 2mR2/5 about the axis through any diameter. m
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).
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