Center of Mass-Centre of Mass of a Two-Particle System (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Physics): Questions 1 - 2 of 2

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Question number: 1

» Center of Mass » Centre of Mass of a Two-Particle System

Appeared in Year: 2010

MCQ▾

Question

Two masses m1 and m2 are connected by a massless spring of spring constant k and unstreched length l. The masses are placed on a frictionless straight channel – which we consider our x-axis. They are initially at rest at x = 0 and x = l, respectively. At t = 0, a velocity of v0 is suddenly imparted to the first particle. At a later time t0, the centre of mass of the two masses is at –

Choices

Choice (4) Response

a.

x=m2lm1+m2+m1v0tm1+m2

b.

x=m2lm1+m2+m2v0tm1+m2

c.

x=m1lm1+m2+m2v0tm1+m2

d.

x=m2lm1+m2

Question number: 2

» Center of Mass » Centre of Mass of a Two-Particle System

Appeared in Year: 2011

MCQ▾

Question

A narrow but tall cabin is falling freely near the earth’s surface. Inside the cabin, two small stones A and B are released from rest (relative to the cabin). Initially A is much above the centre of mass and B much below the centre of mass of the cabin. A close observation of the motion of A and B will reveal that –

Choices

Choice (4) Response

a.

A and B continue to be exactly at rest relative to the cabin

b.

A and B move slightly towards each other vertically

c.

A and B fall to the bottom of the cabin with constant acceleration due to gravity

d.

A moves slowly upward and B moves slowly downward relative to the cabin

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