Center of Mass (KVPY Stream SB-SX (Class 12 & 1st Year BSC) 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.

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

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,

Two spherical objects are suspended using two strings

Two Spherical Objects Are Suspended Using Two Strings

In figure two spherical objects each of radii R and mass m1 and m2 are suspended using two strings of equal length L.

Choices

Choice (4) Response
a.

m2R(m1+m2)L

b.

2m1R(m1+m2)L

c.

2m2R(m1+m2)L

d.

m1R(m1+m2)L

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