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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

3 kg and 5 kg
2 kg and 3 kg
1 kg and 4 kg
√3 kg and √5 kg

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Be in equilibrium
Both (A) and (C)
Always reduce to a couple
Always reduce to a resultant force

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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)

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

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Applied Mechanics and Graphic Statics
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

2/3
1/5
3/5
1/3

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Applied Mechanics and Graphic Statics
In case of S.H.M. the period of oscillation (T), is given by

T = π/2ω
T = 2π/ω
T = 2ω/π²
T = 2/ω

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Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

6.25 kg
5.5 kg
10.5 kg
8.75 kg

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