# Center of Mass (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Physics): Questions 1 - 3 of 5

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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.

b.

c.

d.

## 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

## Question number: 3

» Center of Mass » Centre of Mass of a Rigid Body

Appeared in Year: 2015

MCQ▾

### Question

Two spherical object each of radii R and mass m1 and m2 are suspended using two strings of equal length L as shown in the figure (R < < L). The angle, θ which mass m2 makes with the vertical is approximately,

### Choices

Choice (4) Response

a.

b.

c.

d.