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Applied Mechanics and Graphic Statics

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

3t³ - 2t
6t + 2
6t - 2
3t² + 2t

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

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Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

A straight line
A triangle
A point
Two straight lines

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

44052
43833
43864
43839

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Applied Mechanics and Graphic Statics
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

W sec θ
W cos θ
W cosec θ
W sin θ

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Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

(1 + sin θ)/(1 - sin θ)
(1 - sin θ)/sin θ
sin θ/(1 + sin θ)
(1 - sin θ)/(1 + sin θ)

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