A bowling ball of mass 7.5 kg and diameter 18 cm rolls withoout slipping down a 10-m bowling lane with a constant speed 4.3 m/s. The rotational inertia of the bowling ball is (2/5)mr^2. Show all work. (A) Through what angle does the bowling ball rotate as it travels the length of the lane? (B) What is the rotational speed of the bowling ball? (C) Calculate the maximum radial acceleration that a point on the surface of the bowling ball can have. relative to the center of the ball. (D) Calculate the tangential acceleration of a point on the surface of the bowling ball, B I E T Σ !!!
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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