Three blocks A, B and C weighing 1, 8 and 27 kg respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. T₃ is equal to 36 N. Then T₂ is 

1. 18 N

2. 9 N

3. 3.375 N

4. 1.25 N

Two bodies of mass 3 kg and 4 kg are suspended at the ends of massless string passing over a frictionless pulley. The acceleration of the system is (g = 9.8 m/s²) 

1. 4.9 m/s²

2. 2.45 m/s²

3. 1.4 m/s²

4. 9.5 m/s²

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