Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 40  43 of 69
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Question number: 40
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
A pendulum consists of a ring of mass M and radius R suspended by a massless rigid rod of length attached to its rim. When the pendulum oscillates in the plane of the ring, the time period of oscillation is (Dec. 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 41
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
Consider a particle of mass m attached to two identical springs each of length and spring constant (see the figure below). The equilibrium configuration is the one where the springs are unstretched. There are no other external forces on the system. If the particle is given a small displacement along the x – axis, which of the following describes the equation of motion for small oscillations?
(Dec 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 42
» Classical Mechanics » Generalized Coordinates
Appeared in Year: 2013
Question
The numbers of degrees of freedom of a rigid body in d space – dimension is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  6 

Question number: 43
» Classical Mechanics » Phase Space Dynamics
Appeared in Year: 2012
Question
Consider the motion of a classical particle in a one – dimensional double – well potential . If the particle is displaced infinitesimally from the minimum on the positive x – axis (and friction is neglected), then – (June)
Choices
Choice (4)  Response  

a.  The particle will execute simple harmonic motion in the right well an angular frequency 

b.  The particle will approach the bottom of the right well and settle there 

c.  The particle will switch between the right and left wells 

d.  The particle will execute simple harmonic motion in the right well an angular frequency 
