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Applied Mechanics and Graphic Statics

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

5.5 cm
5.25 cm
5.0 cm
4.5 cm

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)
π/32 (D⁴ - d⁴)
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

(1/2π) √(α/θ)
2π √(α - θ)
4π √(α/θ)
2π √(α/θ)

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Applied Mechanics and Graphic Statics
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)

44079
43898
43959
43832

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Applied Mechanics and Graphic Statics
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

b³/4
b⁴/3
b⁴/12
b⁴/8

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

43894
43895
43926
43954

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