Question # Two unequal masses ( m_{1} ) and ( m_{2} ) are connected by a string going over a clamped light smooth pulley as shown in figure ( m_{1}=3 mathrm{kg} ) and ( mathrm{m}_{2}=6 mathrm{kg} ). The system is released from rest.

# Two unequal masses ( m_{1} ) and ( m_{2} ) are connected by a string going over a clamped light smooth pulley as shown in figure ( m_{1}=3 mathrm{kg} ) and ( mathrm{m}_{2}=6 mathrm{kg} ). The system is released from rest.

(a) Find the distance travelled by the first block in the first two seconds.

(b) Find the tension in the string.

(c) Find the force exerted by the clamp on the pulley. ( left(g=10 mathrm{m} / mathrm{s}^{2}right) )

Solution

So firstly make poree & Tension

[

a=frac{30}{9}=frac{10}{3}

]

so system is released of

From rest So

[

begin{array}{l}

S=u t+frac{1}{2} a+2

S=frac{1}{2} times frac{10}{3} times 4 quad S=frac{40}{6.3}=frac{20}{3}

end{array}

]