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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(5/7) g sin0
(3/7) g sin 0
(2/5) g sin 0
(1/3) g sin0

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

20 m/sec
16 m/sec
18 m/sec
22 m/sec

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Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

E
E/2
2E
4E

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Applied Mechanics and Graphic Statics
The unit of moments in M.K.S system, is

kg.m
kg/m2
kg/sec
kg/sec2

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Applied Mechanics and Graphic Statics
A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

20 sec
10 sec
5 sec
8 sec

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