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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is

0.1 radian/sec
100 radian/sec
1000 radian/sec
1 radian/sec

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

½ l
2/√3 l
¾ l
l/√2

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/2
A/√2
A
A√2

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(2/3) g sin 0
(1/3) g sinB
(2/3) g cos 9

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Applied Mechanics and Graphic Statics
On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

Towards the wall at its upper end
Downwards at its upper end
Upwards at its upper end
Away from the wall at its upper end

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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

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

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