JEE Questions for Maths Statics And Dynamics Quiz 1 - MCQExams.com

A particle is moving in a straight line with uniform velocity. Its acceleration is
  • positive
  • negative
  • zero
  • None of these
Resultant velocity of two velocities 30 km/h and 60 km/h making an angle 60° with each other is
  • 90 km/h
  • 30 km/h
  • 30 √7 km/h
  • None of these
A particle has two velocities of equal magnitude inclined to each other at an angle θ . If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then , θ is
  • 120°
  • 45°
  • 60°
  • 90°
A particle having simultaneous velocities 3 m/s, 5 m/s and 7 m/s is at rest. The angle between the first two velocities is
  • 30°
  • 45°
  • 60°
  • 90°
A particle is thrown vertically upwards with velocity 24.5 cm/min. It will return to the original position after
  • 1 s
  • 3 s
  • 1.5 s
  • None of these
A particle is dropped from a height 12 g m and 4 s after another particle is projected from the ground towards it with a velocity 4g ms-1 . The time after which the second particle meets first is
  • 4 s
  • 2 s
  • 1/ 2 s
  • 1 s
A ball falls from rest from top of a tower. If the ball reaches the foot of the tower in 3 s, then height of tower is (take g = 10 m/s2)
  • 45 m
  • 50 m
  • 40 m
  • None of these
A particle is thrown vertically upwards with a velocity of 490 cm/s. It will return to this position after
  • 1 s
  • 0.5 s
  • 2 s
  • None of these
The amount of force that is needed to accelerate a truck of mass 36000 kg from rest to a velocity of 60 km/h in 20 s is
  • 30 kN
  • 60 kN
  • 6 kN
  • 30000 kN
Two bodies of masses m and 4m are moving with equal momentum. The ratio of their KE is
  • 1 : 4
  • 4: 1
  • 1 : 1
  • 1 : 2
A ball is dropped from a height h above a horizontal plane. If the coefficient of restitution is e, through what height will the ball rebound?
  • eh
  • 2eh
  • e2h
  • 2e2h
If in a projectile motion range R is maximum, then relation between H and R is

  • Maths-Statics and Dynamics-50523.png
  • 2)
    Maths-Statics and Dynamics-50524.png
  • H = 2R

  • Maths-Statics and Dynamics-50525.png
Three forces P, Q, R acting at a point in a plane. The angle between P and Q, Q and R are 150° and 120° respectively, then for equilibrium, forces P, Q, R are in the ratio
  • 1 : 2 : 3
  • 1 : 2 : √3
  • 3 : 2 : 1
  • √3 : 2 : 1

Maths-Statics and Dynamics-50527.png
  • P = Q
  • 2P = Q
  • P2 = Q
  • P = 2Q
Forces of magnitudes 5 N, 10 N, 15 N and 20 N act on a particle in the direction of North, South, East and West, respectively. The magnitude of their resultant is

  • Maths-Statics and Dynamics-50529.png
  • 2)
    Maths-Statics and Dynamics-50530.png

  • Maths-Statics and Dynamics-50531.png

  • Maths-Statics and Dynamics-50532.png
Three forces of magnitudes 30, 60 and P acting at a point are in equilibrium. If the angle between the first two is 60°, then the value of P is

  • Maths-Statics and Dynamics-50533.png
  • 2)
    Maths-Statics and Dynamics-50534.png

  • Maths-Statics and Dynamics-50535.png

  • Maths-Statics and Dynamics-50536.png
If two equal components (P) of a force (F) are acting at an angle 120°, then F is equal to
  • P
  • 2)
    Maths-Statics and Dynamics-50537.png
  • 2P

  • Maths-Statics and Dynamics-50538.png
If 3P and 4P are resultant of a force 5P, then angle between 3P and 5P is

  • Maths-Statics and Dynamics-50539.png
  • 2)
    Maths-Statics and Dynamics-50540.png
  • 90°
  • None of these
A particle starting from a point A and moving with a positive constant acceleration along a straight line reaches another point B in time T. Suppose that the initial velocity of the particle is u > 0 and P is the mid-point of the line AB. If the velocity of the particle at point P is v1 and if the velocity at time T / 2 is v2 , then
  • v1 = v2
  • v1 > v2
  • v1 < v2

  • Maths-Statics and Dynamics-50541.png
If the displacement, velocity and acceleration of a particle at time t is x, v and f respectively, then which one is correct?

  • Maths-Statics and Dynamics-50542.png
  • 2)
    Maths-Statics and Dynamics-50543.png

  • Maths-Statics and Dynamics-50544.png

  • Maths-Statics and Dynamics-50545.png
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