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Applied Mechanics and Graphic Statics

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)

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

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Applied Mechanics and Graphic Statics
In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

King post truss
Fink truss
Warren truss
Howe truss

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of Applied Mechanics and Graphic Statics mcq question image

(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
The apparent weight of a man in a moving lift is less than his real weight when it is going down with

Linear momentum
Retardation
Uniform speed
An acceleration

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

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

3t² + 2t
6t + 2
6t - 2
3t³ - 2t

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