Embibe Experts Solutions for Exercise 4: EXERCISE 6.4

Consider the '$L$' shaped bar shown in figure. At the instant shown, the bar is rotating at $4 \mathrm{rad} {\mathrm{s}}^{-1}$ and is slowing down at the rate of $2 \mathrm{rad} {\mathrm{s}}^{-2}$.

Find the acceleration of point $A$.

Consider the '$L$' shaped bar shown in figure. At the instant shown, the bar is rotating at $4 \mathrm{rad} {\mathrm{s}}^{-1}$ and is slowing down at the rate of $2 \mathrm{rad} {\mathrm{s}}^{-2}$.

Find the relative acceleration $a_{B/A}$ of point $B$ with respect to point $A.$

A wheel of radius $0.5 \mathrm{m}$ is spinning with a constant angular velocity of $2\mathrm{rad} {\mathrm{s}}^{-1}$. What is the centripetal acceleration of a point on the wheel's rim?

A wheel of radius $1 \mathrm{m}$ is spinning with a constant angular velocity of $2 \mathrm{rad} {\mathrm{s}}^{-1}$. What is the centripetal acceleration of a point on the wheel's rim?

A wheel of radius $1 \mathrm{m}$ is spinning with angular velocity which varies with time as $5t^2 \mathrm{rad} {\mathrm{s}}^{-1}$. The acceleration of the point on the wheel's rim at $t=1 \mathrm{s}$, has the magnitude equal to