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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
In case of S.H.M. the period of oscillation (T), is given by

T = 2/ω
T = 2ω/π²
T = π/2ω
T = 2π/ω

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

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

4 m/sec and 6 m/sec
2 m/sec and 2 m/sec
3 m/sec and 3 m/sec
3 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

10 sec
5 sec
8 sec
20 sec

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Applied Mechanics and Graphic Statics
Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be

5 m/sec
None of these
10 m/sec
Zero

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

m⁴
kg/m²
kg-m²
kg/m

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