Classical Mechanics-Mechanics of System of Particles (GATE Physics): Questions 1 - 3 of 3

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Question number: 1

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2015

Short Answer Question▾

Write in Short

A particle of mass 0.01kg falls freely in the earth’s gravitational field with an initial

velocity v(0)=gravitationalfieldwithaninitialvelocity10ms . If air exerts a friction force of form, f=kv , then for k=0.05Nsm , the velocity (inms) at time t=0.2s is ________ (up to two decimal places). (Use g=10ms2 and e=2.72 )

Question number: 2

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2012

MCQ▾

Question

In a central force field, the trajectory of particle of mass m , and angular momentum L in plan polar coordinates in given by,

1r=mL2(1+εcosθ)

Where, ε is the eccentricity of the particle’s motion. Which one of the following choices for ε gives rise a parabolic trajectory?

Choices

Choice (4) Response
a.

0<ε<1

b.

ε>1

c.

ε=0

d.

ε=1

Question number: 3

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2011

MCQ▾

Question

A particle is moving under the action of a generalized potential V(q,q˙)=1+q˙q2 . The magnitude of the generalized force is

Choices

Choice (4) Response
a.

2q3

b.

qq3

c.

2(1+q˙)q3

d.

2(1q˙)q3

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