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36 problems
Type:
Any
Conceptual
Numerical
1.
A uniform disc of mass 3.0 kg rolls without slipping down a slope at 35°.
High School (11–12) · Rotational Motion
StemPy Lab
Hard
2.
A ring, a disc and a solid sphere, all of different masses and sizes, roll from rest without…
High School (11–12) · Rotational Motion
StemPy Lab
Medium
3.
A solid sphere is let go from rest at the top of a slope at 25°, 4.0 m long, and rolls without…
High School (11–12) · Rotational Motion
StemPy Lab
Medium
4.
A solid cylinder of mass 5.0 kg and radius 0.12 m rolls without slipping on a level floor, with its…
High School (11–12) · Rotational Motion
StemPy Lab
Easy
5.
A crowbar 1.5 m long rests on a stone 0.25 m from the end under a 900 N load.
High School (11–12) · Rotational Motion
StemPy Lab
Easy
6.
A uniform ladder 6.5 m long and of weight 250 N leans on a smooth wall, with its foot 2.5 m from…
High School (11–12) · Rotational Motion
StemPy Lab
Hard
7.
A uniform beam 6.0 m long and of mass 25 kg rests on supports at its two ends.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
8.
A uniform plank is supported at its middle.
High School (11–12) · Rotational Motion
StemPy Lab
Easy
9.
Answer, and give a reason. Why does a helicopter with one main rotor need a small tail rotor?
High School (11–12) · Rotational Motion
StemPy Lab
Easy
10.
A merry-go-round has a moment of inertia of 400 kg m² and turns freely at 1.0 rad/s.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
11.
A diver leaves the board with a moment of inertia of 12 kg m² and an angular velocity of 1.8 rad/s.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
12.
A 0.25 kg ball on a string moves in a horizontal circle of radius 0.60 m at 1.5 revolutions per…
High School (11–12) · Rotational Motion
StemPy Lab
Easy
13.
A uniform rod 1.5 m long is hinged at one end, held horizontal, and let go.
High School (11–12) · Rotational Motion
StemPy Lab
Hard
14.
A wheel with a moment of inertia of 0.60 kg m² turns at 450 rpm.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
15.
A 1.5 kg block hangs from a string wound round a uniform disc pulley of mass 4.0 kg and radius 0.15…
High School (11–12) · Rotational Motion
StemPy Lab
Medium
16.
A uniform disc of mass 16 kg and radius 0.40 m turns on a fixed axle through its centre.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
17.
Answer, and give a reason. A solid sphere and a hollow sphere have the same mass and radius.
High School (11–12) · Rotational Motion
StemPy Lab
Easy
18.
A thin ring has a mass of 1.5 kg and a radius of 0.40 m.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
19.
A uniform rod has a mass of 3.2 kg and a length of 1.5 m.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
20.
Masses of 1.5 kg and 2.5 kg are fixed to the ends of a light rod 1.2 m long.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
21.
A force F = (3î - 2ĵ + 4k̂) N acts at the point r = (2î + ĵ - k̂) m.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
22.
A force of 15 N pushes a door at right angles to it, at the handle, 0.85 m from the hinges.
High School (11–12) · Rotational Motion
StemPy Lab
Easy
23.
A 50 N force acts at the end of a spanner 0.30 m long.
High School (11–12) · Rotational Motion
StemPy Lab
Easy
24.
For A = 3î + ĵ - 2k̂ and B = î - 2ĵ + 4k̂, find A × B, its size, and the angle between A and B.
High School (11–12) · Rotational Motion
StemPy Lab
Medium
25.
A coin lies 0.12 m from the axis of a turntable spinning at 45 revolutions per minute.
High School (11–12) · Rotational Motion
StemPy Lab
Hard
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