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Engineering Mechanics

Engineering Mechanics
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by

2P cotθ/2
2P sinθ/2
2P cosθ/2
2P tanθ/2

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Engineering Mechanics
When two elastic bodies collide with each other,

The two bodies begin to regain their original shape
The two bodies will momentarily come to rest after collision
All of these
The two bodies tend to compress and deform at the surface of contact

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Engineering Mechanics
Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

(2/3) Ml²
(1/3) Ml²
(3/4) Ml²
(1/12) Ml²

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Engineering Mechanics
When a body of mass 'm' attains a velocity 'v' from rest in time 't', then the kinetic energy of translation is

0.5 mgv2
mv2
mgv2
0.5 mv2

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Engineering Mechanics
The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

t = g cos β/2u sin (α - β)
t = 2u sin (α - β)/g cos β
t = g cos β/2u sin (α + β)
t = 2u sin (α + β)/g cos β

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Engineering Mechanics
If ‘P’ is the force acting on the body, ‘m’ is the mass of the body and ‘a’ is the acceleration of the body, then according to Newton's second law of motion,

P - m.a = 0
P + m.a = 0
P × m.a = 0
P/m.a = 0

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