Four particles are rigidly attached to a light frame that can rotate about a fixed…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
Four particles are rigidly attached to a light frame that can rotate about a fixed vertical axis OZ. Their perpendicular distances from the axis are given in the table below.
Particle
Mass m (kg)
Distance r (m)
A
1.5
0.20
B
2.0
0.30
C
2.5
0.50
D
3.0
0.70
Answer the following questions.
(i) Calculate the moment of inertia of the system about the axis OZ.
(ii) Hence determine the radius of gyration of the entire system about the same axis.
(iii) If the system is set into rotation with angular speed 6.0rad s−1, calculate its rotational kinetic energy.