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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

g2/g1
g1/g2
g2
g1

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(2/3) g cos 9
(1/3) g sinB
(2/3) g sin 0

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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
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is

10 km/hrs
7 km/hrs
2 km/hrs
1 km/hrs

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

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Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

12 m/sec
6 m/sec
48 m/sec
24 m/sec

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