300+ TOP MCQs on Motion of Connected Bodies and Answers

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MCQs on Motion of Connected Bodies :

1. A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If P is the force exerted on the free end of the rope, what is the force exerted on the block by the rope?

Answer

Answer: (B) (frac{P M}{M+m})

2. A rope of length L is pulled by a constant force F. The tension in the rope at a distance x from the end where the force is applied is

Answer

Answer: (C) (frac{F(L-x)}{L})

3. Three weights A, B and C of mass 2 kg each are hanging on string passing through a frictionless pulley. What is the tension in the string connecting weights B and C?
(A) 13 N
(B) 19.6 N
(C) 3.3 N
(D) 0

Answer

Answer: (A) 13 N

4. A frictionless pulley kept on a horizontal table connects two blocks of masses 4 kg and 5 kg. What is the acceleration of 5 kg mass?
(A) 5.44 m/s2
(B) 2.72 m/s2
(C) 19.5 m/s2
(D) 49 m/s2

Answer

Answer: (A) 5.44 m/s2

5. Three blocks A, B and C each weighing 1, 8, and 27 kg respectively are connected to each other by an inextensible string and are moving on a smooth surface. If T3 is equal to 36 N, then what will T2 be equal to?
(A) 9 N
(B) 18 N
(C) 3.375 N
(D) 1.25 N

Answer

Answer: (A) 9 N

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

Answer

Answer: (D) (frac{m_{1}+m_{2}}{m_{1}+m_{2}+m_{3}} T)

7. A string passing over a frictionless pulley has a mass of 6 kg attached to one of its ends. To the other end a mass of 10 kg is attached. What is the tension in the thread?
(A) 2.45 N
(B) 24.5 N
(C) 73.5 N
(D) 79 N

Answer

Answer: (C) 73.5 N

8. What will the acceleration of the system of two masses connected to a pulley be if the masses weigh 5 kg and 10 kg?
(A) g
(B) g/2
(C) g/3
(D) g/4

Answer

Answer: (C) g/3

9. A body of weight 2 kg is suspended as shown in the figure. What is the tension T1 in the horizontal string?
(A) (frac{2}{sqrt{3}})
(B) (frac{sqrt{3}}{2})
(C) 2√3
(D) 2

Answer

Answer: (B) 2√3

10. A block of mass which weighs 4 kg is suspended through spring balances A and B. Then A and B will read respectively
(A) 0 kg and 4 kg
(B) 4 kg and 0 kg
(C) 4 kg and 4 kg
(D) 2 kg and 2 kg

Answer

Answer: (C) 4 kg

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