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Lecture 4: Relative velocity in two dimension ; Projectile motion ; Uniform circular motion

  • Chapter 4 - MOTION IN A PLANE Assignments 1

    A body is moving on a curved path with a constant speed. What is the nature of its
    acceleration?

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  • Chapter 4 - MOTION IN A PLANE Assignments 2

    What will be the effect on maximum height of a projectile when its angle of

    projection is changed from 30o to 60o, keeping the same initial velocity of

    projection?

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  • Chapter 4 - MOTION IN A PLANE Assignments 3

    What will be the effect on horizontal range of a projectile when its initial velocity is
    doubled, keeping the angle of projection same?

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  • Chapter 4 - MOTION IN A PLANE Assignments 4

    Why does the direction of motion of a projectile become horizontal at the highest
    point of its trajectory?

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  • Chapter 4 - MOTION IN A PLANE Assignments 5

    Which is greater the angular velocity of the hour hand of a watch or angular
    velocity of earth around its own axis?

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  • Chapter 4 - MOTION IN A PLANE Assignments 6

    What is the direction of centripetal force when particle is following a circular path?

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  • Chapter 4 - MOTION IN A PLANE Assignments 7

    (a) Define time of flight and horizontal range?
    (b) From a certain height above the ground a stone A is dropped gently.
    Simultaneously another stone B is fired horizontally. Which of the two stones will
    arrive on the ground earlier?

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  • Chapter 4 - MOTION IN A PLANE Assignments 8

    Derive an equation for the path of a projectile fired parallel to horizontal.

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  • Chapter 4 - MOTION IN A PLANE Assignments 9

    Derive expressions for velocity and acceleration for uniform circular motion.
    OR Derive expression for linear acceleration in uniform circular motion.

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  • Chapter 4 - MOTION IN A PLANE Assignments 10

    At what range will a radar set show a fighter plane flying at 3 km above its centre
    and at distance of 4 km from it?

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  • Chapter 4 - MOTION IN A PLANE Assignments 11

    Prove that for elevations which exceed or fall short of 45o by equal amounts the

    ranges are equal?

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  • Chapter 4 - MOTION IN A PLANE Assignments 12

    What is the angle of projection at which horizontal range and maximum height are
    equal?

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  • Chapter 4 - MOTION IN A PLANE Assignments 13

    What is the angle between two forces of 2N and 3N having resultant as 4N?

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  • Chapter 4 - MOTION IN A PLANE Assignments 14

    What is the value of angular speed for 1 revolution?

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  • Chapter 4 - MOTION IN A PLANE Assignments 15

    A projectile is fired at an angle of 30o with the horizontal with velocity 10m/s. At

    what angle with the vertical should it be fired to get maximum range?

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  • Chapter 4 - MOTION IN A PLANE Assignments 16

    What is “Trajectory of a projectile?

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  • Chapter 4 - MOTION IN A PLANE Assignments 17

    An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10.0 s apart is 30°, what is the speed of the aircraft ?

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  • Chapter 4 - MOTION IN A PLANE Assignments 18

    An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.

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  • Chapter 4 - MOTION IN A PLANE Assignments 19

    The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m s-1 can go without hitting the ceiling of the hall ?

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  • Chapter 4 - MOTION IN A PLANE Assignments 20

    Rain is falling vertically with a speed of 30 m s-1. A woman rides a bicycle with a speed of 10 m s-1 in the north to south direction. What is the direction in which she should hold her umbrella ?

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  • Chapter 4 - MOTION IN A PLANE Assignments 21

    A cyclist starts from the centre Oof a circular park of radius 1 km, reaches the edge Pof the park, then cycles along the circumference, and returns to the centre along QO as shown in Fig. 4.21. If the round trip takes 10 min, what is the (a) net displacement, (b) average velocity, and (c) average speed of the cyclist?

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  • Chapter 4 - MOTION IN A PLANE Assignments 22

    Three girls skating on a circular ice ground of radius 200 m start from a point Pon the edge of the ground and reach a point Qdiametrically opposite to Pfollowing different paths as shown in Fig. 4.20. What is the magnitude of the displacement vector for each? For which girl is this equal to the actual length of the path skated?

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    • Description:-

    Lecture 4:
    Today, we will discuss the last three topics of this chapter i.e; Relative velocity in two dimension ; Projectile motion ; Uniform circular motion from chapter 4 MOTION IN A PLANE
    OBJECTIVES:
    1:Read these topic carefully  Relative velocity in two dimension ; Projectile motion ; Uniform circular motion
    Important Tip:
     This lecture about MOTION IN A PLANE  is base for the further chapters. These topics help in many ways as to understand the and how we can use them. It help you in further studies also.
    Please go through the topic, their notes. Properly do the assignments, watch videos of the concerned topics. If you any doubt about any topic/point please submit it in the discussion section... it will be answered as soon as possible.
    After all of this... when you fell confident about the particular topic/chapter then take the quiz.

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