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Motion in a Plane Test - 42
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Motion in a Plane Test - 42

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  • Question 1/10
    4 / -1
    Consider a disc rotating in the horizontal plane with a constant angular speed ω about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the Y-z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed 1/8 rotation. (ii) their range is less than half the disc radius, and (iii) ω remains constant throughout. Then,

    Solutions

  • Question 2/10
    4 / -1
    The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path shown in the figure is appropriate for the projectile

  • Question 3/10
    4 / -1
    The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position A are (0.2). The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are

  • Question 4/10
    4 / -1
    Which of the following is the graph between the height (h) of a projectile and time (t), when it is projected from the ground
  • Question 5/10
    4 / -1
    Which of the following is the altitude-time graph for a projectile thrown horizontally from the top of the tower?
  • Question 6/10
    4 / -1
    Consider the given velocity-time graph
    It represents the motion of

  • Question 7/10
    4 / -1
    A batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball\'s vertical velocity v with time between the time t1 as it hits the bat and time t2 when it touches the ground
  • Question 8/10
    4 / -1
    Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed ω. The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is Vr as function of times best represented by

    Solutions

  • Question 9/10
    4 / -1
    The coordinates of a particle moving in a plane are given by x(t) = acos(pt) and y(t) = bsin(pt) where a, b (a. The path of the particle is an ellipse
    b. The velocity and acceleration of the particle are normal to each other at t = π/(2p)
    c. The acceleration of the particle is always directed towards a focus
    d. The distance travelled by the particle in time interval t = 0 to t = π/2p is a
    Solutions

  • Question 10/10
    4 / -1
    A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
    a. Velocity is constant
    b. Acceleration is constant
    c. Kinetic energy is constant
    d. It moves in a circular path
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