Applied Mechanics and Graphic Statics
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

10 √5 m/sec
5 √10 m/sec
3 √5 m/sec
5 √3 m/sec

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Applied Mechanics and Graphic Statics
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

e = v₁ - v₂/u₂ - u₁
e = v₁ - v₂/u₂ + u₁
e = v₂ - v₁/u₁ - u₂
e = u₂ - u₁/v₁ - v₂

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

a damped oscillatory motion
a simple harmonic motion
None of these
a rectilinear motion with constant speed

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