Classical Mechanics (PHY05 (T-B))

A system of N particles has 3N independent coordinates. If 'C' is the constraints to a dynamical system, then the number of generalized coordinates is

• 3N - 3C

• 3N - 2C

• 3N – C

• 3N

Which of the following is an example of holonomic constraint

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• 
• 
• None of the above

The work done by constraint forces is always

• Infinity

• Zero

• Unity

• Undefined

Lagrangian of a simple pendulum of length 'l' and mass of a bob 'm' is

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• 
• 
• 

Which of the following relations is true

• 
• 
• 
• 

The Hamiltonian (H) of a system is

• 
• 
• 
• 

The conjugate momentum p_x to the cyclic variable is

• 
• 
• 
• None of the above

The principle which states that " a system of particles moves in such away that the total virtual work done by the effective forces is zero" is

• Principle of Virtual work

• D' Alembert's principle

• Hamilton's principle

• Lagrange principle

Constraint equations which depends explicitly on time is called

• Holonomic

• Non holonomic

• Scleronomic

• Rheonomic

Newton's law of motion doesn't valid for

• Relativistic particle

• Microscopic bodies

• Non inertial frame

• All of the above