The masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in figure. A force of 200 N acts on the 20 kg mass. At the instant shown, the 10 kg mass has acceleration 12 m/sec2. What is the acceleration of 20 kg mass? (1) 12 m/sec2

(2) 4 m/sec2

(3) 10 m/sec2

(4) Zero

Concept Questions :-

Spring force
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Two masses M and m are connected by a weightless string. They are pulled by a force F on a frictionless horizontal surface. The tension in the string will be (1) $\frac{FM}{m+M}$

(2) $\frac{F}{M+m}$

(3) $\frac{FM}{m}$

(4) $\frac{Fm}{M+m}$

Concept Questions :-

Types of forces
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Two masses M and m are connected by a weightless string. They are pulled by a force F on a frictionless horizontal surface. The acceleration of mass m is (1) $\frac{F}{m}$

(2) $\frac{F-T}{m}$

(3) $\frac{F+T}{m}$

(4) $\frac{F}{M}$

Concept Questions :-

Types of forces
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A uniform rope of length l lies on a table. If the coefficient of friction is μ, then the maximum length l1 of the part of this rope which can overhang from the edge of the table without sliding down is

(1) $\frac{l}{\mu }$

(2) $\frac{l}{\mu +l}$

(3) $\frac{\mu l}{1+\mu }$

(4) $\frac{\mu l}{\mu -1}$

Concept Questions :-

Friction
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A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang over one edge of the table is

(1) 20%

(2) 25%

(3) 35%

(4) 15%

Concept Questions :-

Friction
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The blocks A and B are arranged as shown in the figure. The pulley is frictionless. The mass of A is 10 kg. The coefficient of friction of A with the horizontal surface is 0.20. The minimum mass of B to start the motion will be (1) 2 kg

(2) 0.2 kg

(3) 5 kg

(4) 10 kg

Concept Questions :-

Types of forces
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A uniform chain of length L hangs partly from a table which is kept in equilibrium by friction. The maximum length that can withstand without slipping is l, then coefficient of friction between the table and the chain is

(1) $\frac{l}{L}$

(2) $\frac{l}{L+l}$

(3) $\frac{l}{L-l}$

(4) $\frac{L}{L+l}$

Concept Questions :-

Friction
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When two surfaces are coated with a lubricant, then they

(1) Stick to each other

(2) Slide upon each other

(3) Roll upon each other

(4) None of these

Concept Questions :-

Friction
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A 20 kg block is initially at rest on a rough horizontal surface. A horizontal force of 75 N is required to set the block in motion. After it is in motion, a horizontal force of 60 N is required to keep the block moving with constant speed. The coefficient of static friction is

(1) 0.38

(2) 0.44

(3) 0.52

(4) 0.60

Concept Questions :-

Friction
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A block A with mass 100 kg is resting on another block B of mass 200 kg. As shown in figure a horizontal rope tied to a wall holds it. The coefficient of friction between A and B is 0.2 while coefficient of friction between B and the ground is 0.3. The minimum required force F to start moving B will be (1) 900 N

(2) 100 N

(3) 1100 N

(4) 1200 N

Concept Questions :-

Friction