Applied Mechanics and Graphic Statics

281. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is

  1. Less than 1
  2. Equal to 1
  3. Between 1 and 2
  4. Greater than 2

Correct answer: (A)
Less than 1

282. The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

  1. Algebraic sum of the resolved parts of the forces in the direction
  2. Arithmetical sum of the resolved parts of the forces in the direction
  3. Difference of the force multiplied by the tengent θ°
  4. um of the forces multiplied by the tengent θ°

Correct answer: (A)
Algebraic sum of the resolved parts of the forces in the direction

283. The resultant of the forces acting on a body will be zero if the body

  1. Rotates
  2. Moves with variable velocity in a straight line
  3. Moves along a curved path
  4. Does not move at all

Correct answer: (D)
Does not move at all

284. The resultant of two forces 'P' and 'Q' acting at angle sin 'θ'

  1. P2 + Q2 + 2P sin θ
  2. P2 + Q2 + 2PQ cos θ
  3. P2 + Q2 + 2PQ tan sin θ
  4. P2 + Q2 + 2PQ cos sin θ

Correct answer: (D)
P2 + Q2 + 2PQ cos sin θ

285. The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

  1. 2 kgf, 3 kgf
  2. 3 kgf, 4 kgf
  3. 4 kgf, 5 kgf
  4. 5 kgf, 3 kgf

Correct answer: (B)
3 kgf, 4 kgf

286. The resultant of two forces acting at right angles is kg and acting at 60° is 70 kg. The forces are

  1. 1 kg and 4 kg
  2. 2 kg and 3 kg
  3. kg
  4. 3 kg and 5 kg

Correct answer: (D)
3 kg and 5 kg

287. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

  1. P = R
  2. Q = R
  3. P = Q
  4. None of the above is correct

Correct answer: (B)
Q = R

288. The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator

  1. Eastward
  2. Northward
  3. Westward
  4. Southward

Correct answer: (A)
Eastward

289. The shape of a suspended cable for a uniformly distributed load over it is

  1. Circular
  2. Parabolic
  3. Catenary
  4. Cubic parabola

Correct answer: (B)
Parabolic

290. The shape of a suspended cable under its own weight, is

  1. Parabolic
  2. Circular
  3. Catenary
  4. Elliptical

Correct answer: (C)
Catenary

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