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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(3/7) g sin 0
(5/7) g sin0
(1/3) g sin0
(2/5) g sin 0

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e4*
e2*
e*72
1

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
3R/r1 - r2
2R/r1
R/r1 - r2

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Applied Mechanics and Graphic Statics
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

60°
30°
45°
90°

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Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

Both (i) and (iii)
Only (i)
All are correct
Both (ii) and (iii)

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Applied Mechanics and Graphic Statics
At the instantaneous center, the velocity of the moving lamina at any instant is

Maximum
Zero
Minimum
Varying

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