Question

With the assumption of no slipping, determine the mass m of the block which must be placed on the top of a 6 kg cart in order that the system period is 0.75 s.

• A. 2.5 kg
• B. 3.4 kg
• C. 4.5 kg
• D. 5.6 kg

Answer 1

The correct option is A

2.5 kg

$T=2\pi \sqrt{\frac{m+6}{600}}asT=2\pi \sqrt{\frac{m}{k}}or0.75=2\pi \sqrt{\frac{m+6}{600}}m=\frac{(0.75{)}^2\times 600}{(2\pi {)}^2}-6=2.55kg$