First slide

Friction on horizontal surface

Question

A flat car is given an acceleration $a_{0} = 2 m / s^{2}$ starting from rest. A cable is connected to a crate of weight 50 kg as shown whose other end is attached to a fixed support on ground. Neglect friction between the floor and the car wheels and also the mass of the pulley. Calculate corresponding tension in the cable if $μ$ = 0.30 between the crate and the floor of the car.

Moderate

A

350 N
B

250 N
C

300 N
D

none of these

Solution

Acceleration of crate will be 2 $a_{0}$ .
$T - f_{k} = m (2 a_{0}) \Rightarrow T - μmg = 2 {ma}_{0}$
T - 0.3 $\times 50 \times 10 = 2 \times 50 \times 2 \Rightarrow T = 350 N$

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