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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?

1
1/100
100
1/10000

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

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

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ cos α
½ sin α
½ tan α
2 cos α

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Applied Mechanics and Graphic Statics
The graphical method of determining the forces in the members of a truss is based on

Method of joint
Method of section
None of the two methods
Either method

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Applied Mechanics and Graphic Statics
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

90 m/sec
75 m/sec
70 m/sec
80 m/sec

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