Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 8 - 11 of 79

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Question number: 8

» Classical Mechanics » Kepler Problem and Planetary Motion

Appeared in Year: 2014

MCQ▾

Question

A planet of mass Equation moves in a circular orbit of radius Equation in the gravitational potential Equation , where Equation is a positive constant. The orbital angular momentum of the planet is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 9

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2015

Short Answer Question▾

Write in Short

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

velocity Equation . If air exerts a friction force of form, Equation , then for Equation , the velocity Equation at time Equation is ________ (up to two decimal places). (Use Equation and Equation )

Question number: 10

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2016

Short Answer Question▾

Write in Short

Two blocks are connected by a spring of spring constant Equation . One block has mass Equation and the other block has mass Equation . If the ratio Equation , the angular frequency of vibration Equation of the two block spring system in Equation is Equation . (Give your answer up to two decimal places)

Question number: 11

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2015

MCQ▾

Question

The Lagrangian for a particle of mass m at a position Equation moving with a velocity Equation is given by Equation , where Equation is a potential and C is a constant. If Equation is the canonical momentum, then its Hamiltonian is given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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