Question

A block of mass 10 kg resting on a horizontal surface is connected by a cord passing over a light friction-less pulley to a hanging block of mass 10 kg as shown in the figure. The coefficient of friction between the block and the surface is 0.5. The acceleration of the system is $(g=10m/s^2)$

• A. $2.5m/s^2$
• B. $0.25m/s^2$
• C. $5m/s^2$
• D. $0.5m/s^2$

Answer 1

The correct option is A $2.5m/s^2$

For block A, $T-f=ma$
$\Rightarrow T-\mu mg=10a$
$\Rightarrow T-0.5\times 10\times 10=10a$
$\Rightarrow T-50=10a.......\left(i\right)$
For Bloack B,
$10g-T=10a$
$100-T=10a$.....(ii)
Solving equations (i) and (ii), we get
Accelerations, a = $2.5m/s^2$