First slide

Constraints

Question

Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05. ( $g = 10 m / s^{2}$ , mass of the string is negligible and no other friction exists).

Moderate

A

$1.00 m / s^{2}$
B

$1.25 m / s^{2}$
C

$1.50 m / s^{2}$
D

$1.66 m / s^{2}$

Solution

F. B. D. of trolly

$\begin{array}{l} T - f = m_{T} a \\ f = {μm}_{T} g \\ f = 0 .05 \times 10 \times 10 \\ f = 5 N \\ T - 5 = 10 a . . . . . (i) \\ F . B . D of block \end{array}$
$\begin{array}{l} m_{b} g - T = m_{b} a \\ 2 \times 10 - T = 2 a \\ 20 - T = 2 a . . . . . . (ii) \\ Equation (i) + (ii) \\ 15 = 12 a \\ a = \frac{15}{12} \Rightarrow a = 1.25 m / s^{2} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App