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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

3
2
4
5

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Applied Mechanics and Graphic Statics
Pick up the correct statement from the following. The kinetic energy of a body

Before impact is more than that after impact
Before impact is less than that after impact
Before impact is equal to that after impact
Remain constant

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Applied Mechanics and Graphic Statics
The dimensions of power are.

M’L’T3
M’L-‘T*
M’L’r2
M’L2T2

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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

¾ l
2/√3 l
l/√2
½ l

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

4 kgf, 5 kgf
3 kgf, 4 kgf
5 kgf, 3 kgf
2 kgf, 3 kgf

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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.)

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

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