Question

The collar A is free to slide along the smooth shaft B mounted in the frame. The plane of the frame is vertical. Determine the horizontal acceleration a of the frame necessary to maintain the collar in a fixed position on the shaft. (g = $9.8m/s^2$)

• A. $5.66m/s^2$
• B. $6.66m/s^2$
• C. $2.83m/s^2$
• D. $3.33m/s^2$

Answer 1

The correct option is A $5.66m/s^2$

The pseudo-force on the collar, when seen from the frame is $ma$.

For the collar to be in fixed position all the force should be in equilibrium.

So,

$N\cos {30}^o=mg$

$⟹Nsin{30}^o=ma$

$⟹a=9.8/1.73$

$⟹a=5.66$

Hence, option (A) is correct choice.