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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

0.18845 m/sec
18.85 m/sec
188.5 m/sec
1.885 m/sec

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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
100 N
60 N
120 N

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

Q sin θ/P + Q cos θ
Q sin θ/P + Q sin θ
P sin θ/P + Q tan θ
P sin θ/P - Q cos θ

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

0 and 5 m/sec
5 and 5√3 m/sec
5 m/sec and 0
5√3 m/sec and 0

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

89 J
64 J
400 J
464 J

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

48 m/sec
24 m/sec
12 m/sec
6 m/sec

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