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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

Both (A) and (B)
None of these
That resultant couple must be zero
That polygon of forces must close

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

log r
r
1/r
r2

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Applied Mechanics and Graphic Statics
Rate of change of angular momentum is equal to

Force
Impulse
Linear momentum
Torque

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iv)
(ii) and (iii)
(i) and (iv)
(i) and (iii)

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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)
(1/2π) √(α/θ)
2π √(α/θ)

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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

4000 watts
500 watts
400 watts
None of these

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