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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

prism
pyramid
both equally stable
None of these

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(2/5) g sin 0
(3/7) g sin 0
(5/7) g sin0
(1/3) g sin0

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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 wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

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

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Applied Mechanics and Graphic Statics
The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is

10.2 t
10.6 t
10.4 t
10.8 t

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Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

cos θ
tan θ
sin θ
cosec θ

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Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

5.0 cm
7.5 cm
8.75 cm
7.85 cm

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