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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

80 N
60 N
120 N
100 N

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = π/4 - β/2
α = π/4 - β/2
α = β/2 - π/2

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P cos θ/2
2P cos θ/2
P tan θ/2
2P sin θ/2

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

√(P² + Q² + 2PQ cos θ)
P² + Q² + 2PQ tan θ
P² + Q² + 2PQ cos θ
P² + Q² + 2P sin θ

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

3t² + 2t
6t + 2
3t³ - 2t
6t - 2

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Applied Mechanics and Graphic Statics
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

ω²/r
r/ω²
v²/r
r/v²

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