Question

The pulley is given an acceleration $a_0=2{\text{m/s}}^2$ starting from rest. A cable is connected to a block $A$ of mass $50\text{kg}$ as shown. Neglect the mass of the pulley. If $\mu =0.3$ between the block and the floor, then the tension in the cable is:

• A. $200\text{N}$
• B. $250\text{N}$
• C. $300\text{N}$
• D. $350\text{N}$

Answer 1

The correct option is D $350\text{N}$

Using constraints,
Acceleration of block A is $2a_0$
From Newton's second law,
$T-\mu mg=m\left(2a_0\right)$,
$T=350\text{N}$
$\therefore$ (d)