Question

Due to slipping, points A and B on the rim of the disc have the velocities shown
Velocity of centre of disc will be:

• A. 0.7$m/sec$
• B. 0.2$m/sec$
• C. $3.75m/s$
• D. None

Answer 1

The correct option is C $3.75m/s$

Angular velocity with respect to

$\begin{array}{c}=\frac{v_1}{r}\\ =\frac{4.5}{0.4}\end{array}$

Angular velocity $w=11.25rad/s$

If $A$ be at rest let a point at distance $x$ from $A$ has zero velocity,

Then,

$\begin{array}{c}{V}_A+kw=0\\ Atk=0.2\\ V_C=V_A+kw\\ =1.5+\frac{4.5}{2}=3.75m/s\end{array}$

Option $C$ is correct .