Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

22.5 kg
17.5 kg
19.5 kg
25 kg

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Applied Mechanics and Graphic Statics
When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 × M1 sin α)/(M2 - M1­) m/sec²
g(M1 + M2 sin α)/(M1 + M2­) m/sec
g(M1 - M2 sin α)/(M1 + M2­) m/sec²
g(M2 + M1 sin α)/(M1 + M2­) m/sec²

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Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Original velocity in the same direction
Original velocity in the opposite direction
Half the original velocity in the opposite direction
Half the original velocity in the same direction

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