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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

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

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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 cosec θ
W sec θ
W sin θ
W cos θ

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Applied Mechanics and Graphic Statics
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

25 N
15 N
5 N
10 N

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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
6t - 2
3t³ - 2t

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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

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

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ? i. 1.0 in from the wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

(i) and (iv)
(ii) and (iv)
(ii) and (iii)
(i) and (iii)

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