JEE Questions for Maths Statics And Dynamics Quiz 4 - MCQExams.com

Let ABC be an equilateral triangle formed by weightless inextensible strings, the side AB is horizontal. A and B are tied to fixed points D and E by equal weightless inextensible strings AD, BE, a weight of W gram is attached at C. The angles DAB, ABE are each 150°. Then,which of the following statements is correct?
  • The tensions in the strings AB, BC and CA are equal
  • The tensions in the strings BE, AD are inversely proportional
  • The tension in BE is less than the tension in AB
  • The tension in AD is twice the tension in BC
The maximum and minimum magnitude of resultants of two forces are P1 and P2 , respectively. The magnitude of the resultant, when two forces are at a right angles, is

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  • 2)
    Maths-Statics and Dynamics-50620.png

  • Maths-Statics and Dynamics-50621.png

  • Maths-Statics and Dynamics-50622.png

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  • 60°
  • 120°
  • 90°
  • 150°
The greatest and the least magnitudes of the resultant of two forces of constant magnitudes are F and G . When the forces act at an angle 2α , the magnitude of the resultant is

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  • 2)
    Maths-Statics and Dynamics-50627.png

  • Maths-Statics and Dynamics-50628.png

  • Maths-Statics and Dynamics-50629.png

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  • Maths-Statics and Dynamics-50631.png
  • 2)
    Maths-Statics and Dynamics-50632.png

  • Maths-Statics and Dynamics-50633.png

  • Maths-Statics and Dynamics-50634.png

Maths-Statics and Dynamics-50635.png

  • Maths-Statics and Dynamics-50636.png
  • 2)
    Maths-Statics and Dynamics-50637.png
  • 4 P
  • None of these
If forces of magnitudes 12 kg-W, 5 kg-W and 13 kg-W act at a point are in equilibrium, then the angle between the first two forces is
  • 30°
  • 90°
  • 60°
  • 45°
With two forces acting at a point, the maximum effect is obtained when their resultant is 4 N. If they act at right angles, then their resultant is 3N. Then, the forces are

  • Maths-Statics and Dynamics-50638.png
  • 2)
    Maths-Statics and Dynamics-50639.png

  • Maths-Statics and Dynamics-50640.png

  • Maths-Statics and Dynamics-50641.png
The resultant R of two forces P and Q act at right angles to P. Then, the angle between the forces is

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  • 2)
    Maths-Statics and Dynamics-50643.png

  • Maths-Statics and Dynamics-50644.png

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The resultant R of two forces acting on a particle is at right angles to one of them and its magnitude is one-third of the other force. The ratio of larger force to smaller one is

  • Maths-Statics and Dynamics-50646.png
  • 3 : 2

  • Maths-Statics and Dynamics-50647.png
  • 2 : 1
Two trains A and B 100 km apart are travelling towards each other with starting speeds of 50 km/h. The train A is accelerating at 18 km/h2 and B deaccelerating at 18 km/h2 . The distance, where the engines cross each other from the initial position of A , is
  • 50 km
  • 68 km
  • 32 km
  • 59 km
Two points move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity u and the second starts from rest with constant acceleration f , the distance between the two points will be maximum at time

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  • 2)
    Maths-Statics and Dynamics-50649.png

  • Maths-Statics and Dynamics-50650.png

  • Maths-Statics and Dynamics-50651.png
0:0:1


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