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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)

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

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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

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

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Applied Mechanics and Graphic Statics
A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

Through the mean position
The extreme point of the oscillation
Through a point at half amplitude
None of these

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Applied Mechanics and Graphic Statics
If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

30°
45°
60°
120°

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Applied Mechanics and Graphic Statics
The shape of a suspended cable under its own weight, is

Catenary
Circular
Elliptical
Parabolic

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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,

10 N
5 N
25 N
15 N

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