Question

Starting from rest, a flat car is given a constant acceleration $a_0$ $=2m/s^2$. A cable is connected to a crate A of mass $50$kg as shown. Neglect the friction between floor and car wheels and mass of the pulley. Calculate the corresponding tension in the cable. The coefficient of friction between crate & the floor of the car is $\mu =0.3$. Then the tension is cable is?

• A. $700$N
• B. $350$N
• C. $175$N
• D. $0$

Answer 1

The correct option is D $0$

Frictional force,

$f=\mu M_{A}g=0.3\times 50\times 10=150N$.

Pseudo force is $M_{A}a$

$f_P=50\times 2=100N$.

Hence limiting frictional force value is greater than pseudo force then value of friction is zero.