Question

A heavy disc of radius R = 2m is rolling downwards, unwinding two strings in the process. The strings are attached to the ceiling and always remain under tension during motion. Angular velocity of disc $\omega$ = 10 rad/s clockwise as shown in figure. A and B are tangent points on disc. Angle between strings at given instant is $\alpha$ = 60°.

• A. Velocity of centre of mass of disc is $\frac{40}{\sqrt{3}}$ m/s
• B. Velocity of centre of mass of disc is $40\sqrt{3}$ m/s
• C. Velocity of point A is $\frac{40}{\sqrt{3}}$ m/s
• D. Velocity of point B is $\frac{25}{\sqrt{3}}$ m/s

Answer 1

Answer: (A)

Velocity of centre of mass of disc is $\frac{40}{\sqrt{3}}$ m/s

Answer 2

Due to inconsistencies in the problem statement, it is difficult to provide a rigorous explanation. However, assuming the provided answer is correct, the velocity of the center of mass of the disc is $\frac{40}{\sqrt{3}}$ m/s.