Three solids of masses m₁, m₂ and m₃ are connected with weightless string in succession and are placed on a frictionless table. If the mass m₃ is dragged with a force T, the tension in the string between m₂ and m₃ is 

(1) $\frac{m_2}{m_1+m_2+m_3}T$

(2) $\frac{m_3}{m_1+m_2+m_3}T$

(3) $\frac{m_1+m_2}{m_1+m_2+m_3}T$

(4) $\frac{m_2+m_3}{m_1+m_2+m_3}T$

Three blocks of masses m₁, m₂ and m₃ are connected by massless strings as shown on a frictionless table. They are pulled with a force T₃ = 40 N. If m₁ = 10 kg, m₂ = 6 kg and m₃ 4 kg, the tension T₂ will be 

(1) 20 N

(2) 40 N

(3) 10 N

(4) 32 N

A light string passes over a frictionless pulley. To one of its ends a mass of 6 kg is attached. To its other end a mass of 10 kg is attached. The tension in the thread will be 

(1) 24.5 N

(2) 2.45 N

(3) 79 N

(4) 73.5 N

Two masses of 5kg and 10kg are connected to a pulley as shown. What will be the acceleration of the system (g = acceleration due to gravity)

(1) g

(2) $\frac{g}{2}$

(3) $\frac{g}{3}$

(4) $\frac{g}{4}$

A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g = 10 ms^–2) 

(1) 100 ms^–2

(2) 3 ms^–2

(3) 10 ms^–2

(4) 30 ms^–2

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, then tension T₁ = 

(1) 1N

(2) 5 N

(3) 8 N

(4) 10 N

A body of weight 2kg is suspended as shown in the figure. The tension T₁ in the horizontal string (in kg wt) is 

(1) $2/\sqrt{3}$

(2) $\sqrt{3}/2$

(3) $2\sqrt{3}$

(4) 2

One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. with what value of minimum safe acceleration (in ms^–2) can a monkey of 60 kg move down on the rope 

1. 16

2. 6

3. 4

4. 8

A light string passing over a smooth light pulley connects two blocks of masses m₁ and m₂ (vertically). If the acceleration of the system is g/8 then the ratio of the masses is 

(1) 8 : 1

(2) 9 : 7

(3) 4 : 3

(4) 5 : 3

A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read respectively 

(1) 4 kg and zero kg

(2) Zero kg and 4 kg

(3) 4 kg and 4 kg

(4) 2 kg and 2 kg