Question 1. Questioning relating to torque a. What is the formula for the torque on the turntable in terms of tension T in the string and the lever arm distance r (is it rTsintheta)? b. What is the tension in the string if the turntable is held fixed, with the mass hanging from the pulley (i.e., the mass is stationary)? c. Regarding tension, When the mass is falling, what is the tension in the string? Use Newton’s second law to determine the tension T in the string as a function of m, the falling mass, g, the acceleration due to gravity, and a, the linear acceleration of the falling mass.
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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Setup
For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the
Question 1. Questioning relating to torque
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