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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Virtual centre
Instantaneous axis
Point of rotation
Instantaneous centre

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

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a resultant force
Be in equilibrium
Always reduce to a couple
Both (A) and (C)

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Applied Mechanics and Graphic Statics
Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is

2 sec
5 sec
4 sec
3 sec

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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

1
e4*
e2*
e*72

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

0.5 m/sec²
0.75 m/sec²
1.00 m/sec²
1.25 m/sec²

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