Question

Two blocks P and Q are connected by a string, which passes over a pulley as shown in the figure. The block P is sliding on an included surface. Ignoring the masses of the string and the pulley the tension in the string is (use gravitational acceleration g =9.81 m/s${}^2$ and neglect all friction)

• A. 55.2 N
• B. 62.5 N
• C. 74.3 N
• D. 86.2 N

Answer 1

The correct option is A 55.2 N



Given data:

$m_1=6kg,m_2=10kg$

$-6gcos60+T=6a$

$-3g+T=\mathrm{6.......}\left(1\right)$

$10g-T=10a......\left(2\right)$

From equation (1) &(2)

$a=\frac{7g}{16}$

$T=g(10-\frac{70}{16})=\frac{90g}{16}=55.2N$