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

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/4 - β/2
α = β/2 - π/2
α = π/2 + β/2
α = π/4 - β/2

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Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.25 cm
0.50 cm
1.00 cm
0.75 cm

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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

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

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Applied Mechanics and Graphic Statics
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

W cosec θ
W cos θ
W sec θ
W sin θ

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

150 J
50 J
200 J
400 J

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