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Rigid Body Mechanics (HL IB Physics): Exam Questions

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1
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Two co-planar forces of equal magnitude F act on the rim of a wheel.

Which pair of forces act as a couple on the wheel?

q7_moments_aqa-as-physics-mcq

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    2
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    Three statements about rotational equilibrium are:

    1. There is a resultant force acting on the system
    2. There is no resultant torque acting on the system
    3. The system rotates with a constant angular velocity

    Which statements about rotational equilibrium are correct?

    • I and II only

    • I and III only

    • II and III only

    • I, II and III

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    3
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    Which equation links linear displacement and angular displacement? 

    • s space equals space u t space plus space 1 half a t squared

    • v space equals space r omega

    • s space equals space r theta

    • a space equals space minus omega squared x

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    4
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    At the beginning of a wash cycle, the drum of a washing machine rotates with constant angular acceleration and makes its first full revolution from rest in 0.05 seconds.

    What is the rotational velocity of the drum after one full revolution?

    • 1 halfπ rad s−1

    • 1 over 10π rad s−1

    • 40π rad s−1

    • 80π rad s−1

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    5
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    A rigid rod is rotated about different axis of rotation from different positions along the rod. The axis of rotation is indicated by a straight line and the direction of rotation with an arrow. 

    9-2-e-1b-moments-rod-rotating

    Which of the following rods is the hardest to rotate? 

    rigid-body-mechanics-mcq5e-ib-hl-physics

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      1
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      A student holds a pencil of negligible mass horizontally by the tip and lets it swing down to a vertical position. The pencil is 8 cm long and there is a 2 g mass of blu-tac stuck on the end that swings. 

      What is the moment of inertia acting on the bluc-tac during this motion? 

      • 1.28 × 10−5 kg m2

      • 1.6 × 10−4 kg m2

      • 123 kg m2

      • 128 kg m2

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      2
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      A person of mass 55 kg bounces on a trampoline. During a somersault, the person tucks into a ball so the furthest point on their body is no more than 67 cm away from their centre of mass, and rotates with a linear velocity of 7.1 m s−1.

      rigid-body-mechanics-mcq2m-ib-hl-physics

      By modelling the person as a solid sphere with a moment of inertia of 2 over 5 m r squared, what is their angular momentum during the somersault?

      • 70 kg m2 s−1

      • 105 kg m2 s−1

      • 260 kg m2 s−1

      • 390 kg m2 s−1

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      3
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      A ceremonial pole of length S is being held by two performers. There is one performer holding each end. Both performers are applying a force of 15 N at an angle of 60° to the pole. The total torque applied by the couple on the pole is 45 N m. 

      4-1-3d-e-torque-angled-forces

      What is the length of the ceremonial pole S ?

      • square root of 3N m

      • 3 N m

      • 2 square root of 3 N m

      • 4 square root of 3 N m

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      4
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      A rod is fixed to a pulley. Two 50 N forces are applied to the ends of the rod as shown. The tension in the rope attached to the pulley is T. The system is in equilibrium.

      q5-paper-1-june-2018-ocr-a-level-physics

      What is the value of the tension in the rope?

      • 40 N m

      • 100 N 

      • 150 N

      • 200 N

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      5
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      A disc of radius 60 mm is made to rotate by applying a constant force to its outer rim. It takes 3.0 seconds for the disc to rotate from rest up to an angular frequency of 500 revolutions per minute.

      During the application of the force, what is the linear acceleration at a point on the outer rim of the disc?

      • straight pi over 3 space straight m space straight s to the power of negative 2 end exponent

      • straight pi space straight m space straight s to the power of negative 2 end exponent

      • fraction numerator 10 straight pi over denominator 3 end fraction space straight m space straight s to the power of negative 2 end exponent

      • fraction numerator 50 straight pi over denominator 9 end fraction space straight m space straight s to the power of negative 2 end exponent

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      1
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      A swinging clock pendulum is 12 cm long with a bob of mass 5 g. The linear acceleration of the swing is 4.2 m s−2.

      What is the torque acting on the pendulum bob at the amplitude of the swing? 

      • 7.2 × 10−5 N m

      • 3.024 × 10−4 N m

      • 2.52 × 10−3 N m

      • 252 N m

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      2
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      A record with a radius of 17 cm and a mass of 150 g is being played on a turntable at a rate of 35 revolutions per minute.

      Calculate the resultant torque on the outer rim of the record when it is played for the first 3 seconds. 

      • 2.65 × 10−3 N m

      • 7.95 × 10−3 N m

      • 0.025 N m

      • 0.25 Nm

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      3
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      A car has four wheels each modelled as a point mass with a diameter of 50 cm and a mass of 28 kg. As the car drives along a flat horizontal road, each tire moves with a linear velocity of 14 m s−1. 

      What is the total rotational kinetic energy of the top point of all four tires?

      • 98 J

      • 686 J

      • 2744 J

      • 10976 J

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      4
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      A wind-up toy ballerina statue starts unwinding by rotating at 3 revolutions per minute about a pivot at its feet. During the unwinding, the ballerina rotates 360π radians and has a maximum radius of rotation of 25 cm from its pivot. The ballerina maintains a constant linear acceleration of 1.75 × 10−4 m s−2 as it unwinds.

      How many minutes does it take the ballerina to unwind?

      • 20

      • 23

      • 30

      • 1404

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      5
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      A car wheel of mass 12 kg is manoeuvred on the floor by attaching two identical solid cylinders each of mass 4 kg, length 15 cm and diameter 5 cm either side of a fastening in the centre of the wheel. The outside of the wheel is made up of a solid rim and tire with a radius of 30 cm from the centre of the tire. The inside of the tire with the spokes and fastening is modelled as an empty space with a radius of 20 cm from the centre. 

      Moment of inertia of a solid cylinder rotated through the centre of the circular face: I space equals space 1 half m R squared where R is the radius of the circle

      Moment of inertia of a cylinder with an empty centre: I space equals space 1 half m open parentheses A squared plus B squared close parentheses where A is the radius of the empty centre and B is the radius of the entire circle

      rigid-body-mechanics-mcq5h

      What is the overall moment of inertia of this system? 

      • 0.2675 kg m2

      • 0.7813 kg m2

      • 0.7825 kg m2

      • 0.7900 kg m2

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