PG TRB unit 3

The product of generalized coordinator and it's conjugate momentum has the dimension of

• Linear momentum

• Angular momentum

• Force

• Energy

If a system of M particles contain N holonomic constraints then the number of generalized coordinator is

• 3N-M

• 3M-N

• 3NM

• 3M/N

D Alemberts principle is

• Dynamic equilibrium

• Static equilibrium

• Both A and B

• None of above

The products of inertia about the principle axes of the body are

• 1

• Zero

• Greater than zero

• Less than zero

Euler's equation predicts that the shortest distance between two fixed points in a plane is a

• Plane

• Circle

• Straight line

• Curve

If a given coordinator is cyclic in Lagrangian it will also be

• Cyclic in Hamiltonian

• Non cyclic in Hamiltonian

• Non ignorable in Hamiltonian

• Invariant in Hamiltonian

If the langrangian (L) is not an explicit function of time the Hamiltonian (H) is

• Variable

• Zero

• Constant of motion

• Infinity

• A

• C

• B

• D

The Euler's equation for the motion of rigid body

• A

• B

• C

• D

Acceleration of a mass in Atwood machine is

• A

• B

• C

• D