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

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

2P sin θ/2
P cos θ/2
P tan θ/2
2P cos θ/2

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Applied Mechanics and Graphic Statics
Time period and length of a second’s pendulum respectively are

2 sec and 99.4 cm
1 sec and 92.7 cm
2 sec and 92.7 cm
1 sec and 99.4 cm

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl²/16d
wl²/4d
wl/4d

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Applied Mechanics and Graphic Statics
A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

500 watts
4000 watts
400 watts
None of these

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Applied Mechanics and Graphic Statics
The units of inertia of mass are

kg/m
m⁴
kg/m²
kg-m²

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