Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 8  10 of 69
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Question number: 8
» Classical Mechanics » Periodic Motion » Normal Modes
Appeared in Year: 2013
Question
The acceleration due to gravity g is determined by measuring the time period T and the length L of a simple pendulum. If the uncertainties in the measurements of T and L are and respectively, the fractional error in measuring is best approximated by, (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» Classical Mechanics » Periodic Motion » Small Oscillations
Appeared in Year: 2014
Question
The time period of a simple pendulum under the influence of the acceleration due to gravity is T. The bob is subjected to an additional acceleration of magnitude in the horizontal direction. Assuming small oscillations, the mean position and time period of oscillation, respectively, of the bob will be – (June)
Choices
Choice (4)  Response  

a.  to the vertical and 

b.  to the vertical and 

c.  to the vertical and 

d.  to the vertical and 

Question number: 10
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2014
Question
A particle of mass m and coordinate has the Lagrangian; where is a constant. The Hamiltonian for the system is given by, (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

