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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

60 N
80 N
120 N
100 N

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/4 - β/2
α = β/2 - π/2
α = π/4 - β/2
α = π/2 + β/2

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Applied Mechanics and Graphic Statics
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

43832
43894
2
43834

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P - Q cos θ
Q sin θ/P + Q sin θ
Q sin θ/P + Q cos θ
P sin θ/P + Q tan θ

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
15 m/sec
50 m/sec
25 m/sec

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

337.5 cm⁴
437.5 cm⁴
137.5 cm⁴
237.5 cm⁴

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