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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

None of these
P = Q
P = R
Q = R

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Applied Mechanics and Graphic Statics
A weight ‘W’ is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

W cosec θ
W sec θ
W cos θ
W sin θ

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + c²)/3 (a + c)
None of these
(b² + bc + c²)/3 (b + c)
(a² + ab + b²)/3 (a + b)

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 + M1)/(M2 - M1)
T = g(M1 - M2)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)
T = g(M2 - M1)/(M1 + M2)

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Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
2R/r1
R/r1 - r2
3R/r1 - r2

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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)

1/r
r2
r
log r

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