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A.4 Rigid body mechanics (Paper 1A)

Practice exam-style IB Physics questions for Rigid body mechanics, aligned with the syllabus and grouped by topic. (Paper 1A).

Paper 1A
Difficulty
Status
Level
Question 1
HL • Paper 1A
Easy
Non Calculator

A force of 18 N18\ \text{N} is applied to a spanner at a distance of 0.25 m0.25\ \text{m} from the nut. The angle between the spanner and the force is 6060^\circ.

A.

7.8 N m

B.

3.9 N m

C.

4.5 N m

D.

2.3 N m

Question 2
HL • Paper 1A
Easy
Non Calculator

A uniform beam is in rotational equilibrium about a pivot.

A.

The beam has zero angular momentum.

B.

The resultant force on the beam is zero only.

C.

The resultant torque about the pivot is zero.

D.

All forces act through the centre of mass.

Question 3
HL • Paper 1A
Easy
Non Calculator

A constant resultant torque acts on a rigid body whose moment of inertia remains constant.

A.

Constant angular acceleration

B.

Constant angular displacement

C.

Constant angular velocity

D.

Constant angular momentum

Question 4
HL • Paper 1A
Easy
Non Calculator

A wheel rotates at 240 revolutions per minute.

A.

120π rad s1120\pi\ \mathrm{rad\ s^{-1}}

B.

8.0π rad s18.0\pi\ \mathrm{rad\ s^{-1}}

C.

4.0 rad s14.0\ \text{rad}\ \text{s}^{-1}

D.

480π rad s1480\pi\ \text{rad s}^{-1}

Question 5
HL • Paper 1A
Easy
Non Calculator

Two point masses of 0.20 kg0.20\ \text{kg} are fixed to a light rod, each 0.30 m0.30\ \text{m} from an axis through the rod’s centre and perpendicular to the rod.

A.

0.12 kg m20.12\ \mathrm{kg\ m^2}

B.

0.036 kgm20.036\ \mathrm{kg\,m^2}

C.

0.24 kg m20.24\ \text{kg m}^2

D.

0.018 kgm20.018\ \text{kg}\,\text{m}^2

Question 6
HL • Paper 1A
Easy
Non Calculator

A resultant torque of 6.0 N m6.0\ \text{N m} acts on a flywheel of moment of inertia 1.5 kg m21.5\ \text{kg m}^2.

A.

9.0 rad s29.0\ \mathrm{rad\ s}^{-2}

B.

4.0 rad s24.0\ \text{rad}\ \text{s}^{-2}

C.

7.5 rad s27.5\ \mathrm{rad\ s^{-2}}

D.

0.25 rad s20.25\ \text{rad}\ s^{-2}

Question 7
HL • Paper 1A
Easy
Non Calculator

A disc of moment of inertia 0.40 kg m20.40\ \text{kg m}^2 rotates clockwise at 12 rad s112\ \text{rad s}^{-1}.

A.

4.8 kgm2s1-4.8\ \mathrm{kg\,m^2\,s^{-1}}

B.

30 kg m2 s130\ \mathrm{kg\ m^2\ s^{-1}}

C.

0.033 kgm2s10.033\ \mathrm{kg\,m^2\,s^{-1}}

D.

4.8 kg m2 s14.8\ \mathrm{kg\ m^2\ s^{-1}}

Question 8
HL • Paper 1A
Easy
Non Calculator

A flywheel has moment of inertia 2.0 kg m22.0\ \text{kg m}^2 and angular speed 5.0 rad s15.0\ \text{rad s}^{-1}.

A.

25 J

B.

50 J

C.

10 J

D.

100 J

Question 9
HL • Paper 1A
Medium
Non Calculator

A turntable starts from rest and has a uniform angular acceleration of 3.0 rad s23.0\ \text{rad s}^{-2} for 4.0 s4.0\ \text{s}.

A.

12 rad

B.

48 rad

C.

18 rad

D.

24 rad

Question 10
HL • Paper 1A
Medium
Non Calculator

Two wheels have the same mass and radius. Wheel X has most of its mass near the axle; wheel Y has most of its mass near the rim.

A.

X has a larger moment of inertia than Y.

B.

They have the same moment of inertia because mass and radius are the same.

C.

Y has a larger moment of inertia than X.

D.

Their moments of inertia are zero if they rotate steadily.

Question 11
HL • Paper 1A
Medium
Non Calculator

A skater rotates with arms extended. The skater then pulls the arms in so that the moment of inertia decreases by a factor of 2. No external torque acts.

A.

It decreases by a factor of 22.

B.

It increases by a factor of 2.

C.

It increases by a factor of 44.

D.

It remains unchanged.

Question 12
HL • Paper 1A
Medium
Non Calculator

A constant torque of 0.80Nm0.80\,\text{N}\,\text{m} acts on a rotor for 5.0s5.0\,\text{s}.

A.

0.16 N m s0.16\ \text{N}\ \text{m}\ \text{s}

B.

4.0 N m s

C.

0.80 N m s

D.

6.25 N m s

Question 13
HL • Paper 1A
Medium
Non Calculator

Two equal and opposite horizontal forces of magnitude 12 N act on a rigid body. Their parallel lines of action are separated by 0.40 m.

A.

0 N m

B.

2.4 N m

C.

4.8 N m

D.

9.6N m9.6\,\text{N m}

Question 14
HL • Paper 1A
Medium
Non Calculator

A solid cylinder with I=12MR2I=\frac{1}{2}MR^2 rolls without slipping with centre-of-mass speed vv.

A.

14\frac{1}{4}

B.

13\frac{1}{3}

C.

12\frac{1}{2}

D.

23\frac{2}{3}

Question 15
HL • Paper 1A
Medium
Non Calculator

Two coaxial discs are brought into contact and rotate together after slipping. Disc 1 has (I) and angular speed (+3\omega). Disc 2 has (2I) and angular speed (-\omega).

A.

+ω+\omega

B.

13ω-\frac{1}{3}\omega

C.

+53ω+\frac{5}{3}\omega

D.

+13ω+\frac{1}{3}\omega

Question 16
HL • Paper 1A
Medium
Non Calculator

A point on the rim of a wheel has tangential speed 6.0 ms16.0\ \mathrm{m\,s^{-1}} and centripetal acceleration 18 ms218\ \mathrm{m\,s^{-2}}.

A.

0.33 m

B.

3.0 m

C.

2.0 m

D.

108 m


A.3 Work, energy and power