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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

π √(l/g)
π √(l/2g)
π √(g/2l)
π √(2l/g)

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

sin (α + β)/sin (α - β)
tan (α - β)/tan (α + β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
15 m/sec
25 m/sec
50 m/sec

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Applied Mechanics and Graphic Statics
A Seconds pendulum executes

1.0 beat per second
2.0 beats per second
2.5 beats per second
0.5 beat per second

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Independent of A
Proportional to A²
Proportional to 1/A²
Proportional to A

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

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