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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

2
4
3
5

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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

2/√3 l
½ l
l/√2
¾ l

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² sin² α/2g
u² cos² α/2g
u² sin 2α/2g
u² tan² α/2g

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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

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

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 - M1)/(M1 + M2)
T = g(M1 - M2)/(M1 + M2)
T = g(M2 + M1)/(M2 - M1)
T = g(M1 + M2)/(M1 × M2)

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Applied Mechanics and Graphic Statics
If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

20 rad/sec
5 rad/sec
20 rad/sec
10 rad/sec

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