Question

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

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

Answer 1

The correct option is B 350 N

as the wire is going round the pulley once so the acceleration of the crate will be twice as the acceleration of the pulley(or the cart).
$a=4\left(m/s\right)/s$
tension force will be responsible of acceleration of crate despite its friction.
$T=m\times a+f_r$
$T=50\times 4+\mu mg$
$T=200+0.3\times 50\times 10$
$T=200+150=350N$