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DP IB Physics: SL

Topic Questions

Home / IB / Physics: SL / DP / Topic Questions / 6. Circular Motion & Gravitation / 6.1 Circular Motion / Multiple Choice


6.1 Circular Motion

Question 1

Marks: 1

A particle rotates clockwise in a horizontal circle of radius r with a constant angular velocity ω. The particle is at S at time zero and at P at time t. Q represents the projection of point P onto the diameter through S. Measured with respect to the centre of orbit O, the displacement, linear velocity and linear acceleration of Q along OS are xv and a respectively. 

6-1-sl-mcq-hard-q1-phy

Which of the following sets of expressions is correct? 

 

x

v

a

A.

r space cos space omega t

negative r omega space sin space omega t

r omega squared space cos space omega t

B. r space cos space omega t negative r omega space sin space omega t negative r omega squared space cos space omega t
C.

r space sin space omega t

negative r omega space cos space omega t

negative r omega squared space sin space omega t

D.

r space sin space omega t

r omega space cos space omega t r omega squared space sin space omega t
    Choose your answer
      
    Key Concepts
    Centripetal Force

    Question 2

    Marks: 1

    A simple pendulum consists of a bob of mass m at the end of a light inextensible thread of length d. The bob swings through point Y with velocity v and comes to an instantaneous rest at point X, where the string is just taut. 

    6-1-sl-mcq-hard-q2-phy

    What is the tension in the thread as the bob passes point Y? 

    • mg

    • 2mg

    • 3mg

    • 4mg

    Choose your answer
      
    Key Concepts
    Centripetal Force

    Question 3

    Marks: 1

    A particle travels in a circular path in a magnetic field with radius x and centripetal acceleration a

    What is the time taken for 15 complete rotations? 

    • 2 pi square root of x over a end root

    • 30 pi square root of x over a end root

    • 2 pi square root of a over x end root

    • 30 pi square root of a over x end root

    Choose your answer
      

    Question 4

    Marks: 1

    A mass m1 is attached to one end of a light extensible string of length x. When the mass rotates with a linear speed v in a horizontal plane, an extension Δx is obtained. 

    Which of the following shows the correct expression for another mass m2, if it is attached to the same light extensible string and rotated with the same linear speed but rotates at twice the radius as that produced by m1?

    • m subscript 2 equals fraction numerator 2 m subscript 1 left parenthesis x plus increment x right parenthesis over denominator increment x end fraction

    • m subscript 2 equals fraction numerator 2 m subscript 1 left parenthesis 2 x plus increment x right parenthesis over denominator increment x end fraction

    • m subscript 2 equals fraction numerator 4 m subscript 1 left parenthesis x plus increment x right parenthesis over denominator increment x end fraction

    • m subscript 2 equals fraction numerator 2 m subscript 1 left parenthesis x plus 2 increment x right parenthesis over denominator increment x end fraction

    Choose your answer
      

    Question 5

    Marks: 1

    Two bobs A and B, of equal mass, are connected by a light inextensible string of length l

    6-1-sl-mcq-hard-q5-phy

    Bob A is tied to a nail at the centre of a smooth table by another light, inextensible string of length 3l. The bobs are then set into uniform motion on the surface of the table with the same angular velocity. 

    What is the ratio of the tension in the string connecting bob A and B to that in the string connecting bob A to the nail? 

    • 1:2 

    • 3:4 

    • 4:7

    • 4:9

    Choose your answer
      
    Key Concepts
    Centripetal Force

    Question 6

    Marks: 1

    An aircraft moves in a horizontal plane at a constant linear speed v and makes a turn of radius r

    6-1-sl-mcq-hard-q6-phy

    Which of the following expressions is true for the tilt angle θ?

    You may wish to use the relationship:

    tan space theta equals fraction numerator sin space theta over denominator cos space theta end fraction

    • theta proportional to r

    • theta proportional to 1 over r

    • tan space theta proportional to r

    • tan space theta proportional to 1 over r

    Choose your answer
      
    Key Concepts
    Centripetal Force

    Question 7

    Marks: 1

    The maximum speed for a car to safely move round a corner when the road is dry is 10 m s–1. The maximum frictional force between the road surface and the wheels of the car is halved when the road is wet. 

    What is the maximum safe speed for a car to go round the corner when the road is wet? 

    • square root of 2 m s–1

    • 2 square root of 2 m s–1

    • 5 square root of 2 m s–1

    • 10 square root of 2 m s–1

    Choose your answer
      
    Key Concepts
    Centripetal Force

    Question 8

    Marks: 1

    A conker attached to a string is whirled in a vertical circle at constant speed. 

    Which of the following correctly shows the variation of the tension T in the string with the angular displacement θ

    6-1-sl-mcq-hard-q8-phy

      Choose your answer
        

      Question 9

      Marks: 1

      A small object is attached to a string and whirled in a vertical circle at a constant speed. The magnitude of the net force F on the object at the top of the circle is given by:

      F subscript t o p end subscript space equals space T space plus space m g

      Where T is the tension in the string, m is the object's mass and g is the acceleration of free fall.

      The magnitude of the net force on the object at the bottom of the circle is given by: 

      F subscript b o t t o m end subscript space equals space T space minus space m g

      Which of the following statements is correct?

      • The net force on the object at the bottom of the loop is greater than the net force at the top

      • The net force on the object decreases as the object moves from the bottom to the top of the loop

      • The net force on the object at the top of the loop is greater than the net force at the bottom

      • The net force on the object is the same at the top and at the bottom of the loop

      Choose your answer
        

      Question 10

      Marks: 1

      Two masses m1 and m2 are fixed on a horizontal circular rotating platform. m2 is half as massive as m1 and is fixed at a distance three times as far from the centre as m1. The net force on m1 is F1 and the net force on m2 is F2.

      Which of the following statements is correct? 

      • F subscript 1 equals 1 half F subscript 2 

      • F subscript 1 equals 1 third F subscript 2

      • F subscript 1 equals 2 over 3 F subscript 2

      • F subscript 1 equals 2 F subscript 2

      Choose your answer
        
      Key Concepts
      Centripetal Force