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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

Both (i) and (iii)
All are correct
Both (ii) and (iii)
Only (i)

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

v = ω √(y² - r²)
y = ω √(y - r)
v = ω √(r² - y²)
v = ω √(r² + y²)

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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

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

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Applied Mechanics and Graphic Statics
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

200 tonnes at the left support
500 tonnes at the centre
200 tonnes at the centre
200 tonnes at the right support

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Applied Mechanics and Graphic Statics
The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator

Northward
Southward
Westward
Eastward

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Applied Mechanics and Graphic Statics
If y is force and x is velocity, then dimensions of —=r are dx2

M2L’T3
M’L-‘T1
M’^T’
M’L-‘T0

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