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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

Two straight lines
A straight line
A point
A triangle

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Applied Mechanics and Graphic Statics
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as

Equation of dynamic equilibrium
Equation of dynamics
None of these
Equation of statics

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

12 m/sec
6 m/sec
24 m/sec
48 m/sec

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Applied Mechanics and Graphic Statics
Which of the following is a scalar quantity?

Torque
Energy
Impulse
Momentum

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

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Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

5.25 cm
5.5 cm
4.5 cm
5.0 cm

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