Classical Mechanics (CSIR Physical Sciences): Questions 25 - 27 of 59

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Question number: 25

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

Question

A double pendulum consists of two point masses m attached by massless strings of length l as shown in the figure. The kinetic energy of the pendulum is –

 A double pendulum of two masses m

a Double Pendulum of Two Masses M

Figure shows a double pendulum consists of two point masses m attached by massless strings of length l.

(December)

Choices

Choice (4) Response

a.

12ml2[θ˙12+θ˙22+2θ˙1θ2˙cos(θ1θ2)]

b.

12ml2[θ˙12+2θ˙22+2θ˙1θ2˙cos(θ1θ2)]

c.

12ml2[2θ˙12+θ˙22+2θ˙1θ2˙cos(θ1θ2)]

d.

12ml2[θ˙12+θ˙22]

Question number: 26

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2014

MCQ▾

Question

The equation of motion of a system described by the time dependent Lagrangian L=eγt[12mx˙2V(x)] is – (December)

Choices

Choice (4) Response

a.

mx¨+γmx˙+dVdx=0

b.

mx¨+dVdx=0

c.

mx¨+γmx˙dVdx=0

d.

mx¨γmx˙+dVdx=0

Question number: 27

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

Question

The acceleration due to gravity (g) on the surface of Earth is approximately 2.6 times that on the surface of Mars. Given that the radius of Mars is about one half the radius of Earth, the ratio of the escape velocity on Earth to that on Mars is approximately. - (June)

Choices

Choice (4) Response

a.

2.3

b.

1.3

c.

1.1

d.

5.2

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