2. The strings AB and AC connect the 200 g ball to the vertical shaft, as shown in Fig. 2. The shaft rotates at a constant angular speed w and the ball travels in a horizontal circle with the strings inclined at a = 300 to the shaft. Given that the tension in string AC is 4 N.
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) Draw a free body diagram of the forces on the ball.
(b) Calculate the radial acceleration of the ball.
(c) Find the value of the angular speed ω
(d) What is the tangential acceleration of the ball?
PLEASE ANSWER PART D ONLY. A-C ARE DONE.
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