Question

A "L" shaped robotic arm AB is connected to a motor at end A and a magnetic gripper at B as shown in the figure. If the arm is rotating with an angular velocity of 2 rad/s and an angular acceleration of $3rad/s^2$, the magnitude of the acceleration (in $m/s^2$) of the end B is

• A. 2.0
• B. 2.5
• C. 5.0
• D. 6.0

Answer 1

The correct option is B 2.5

Acceleration of end $B=\sqrt{a_n^2+a_t^2}$

$a_n=AB.{\omega }^2=\sqrt{{0.4}^2+{0.3}^2}\times 2^2$

$=0.5\times 4=2m/s^2$

$a_t=AB.\alpha =0.5\times 3=1.5m/s^2$

$a_B=\sqrt{2^2+{1.5}^2}=2.5m/s^2$