Lesson 6.04e
6.04e Rigid bodies and equilibrium Quiz: OCR Further Maths, Unit 3
20 questions
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Lesson 6.04e, Rigid bodies and equilibrium: 20 multiple choice questions for the OCR Further Maths (H245), Unit 3: Mechanics (Y543), written with Revision Ninja.
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The 20 questions
-
Where on a freely suspended equilibrium body does the vertical line through suspension pass?
- Midpoint of base
- Highest point
- Centre of mass
- Lowest point
-
What condition causes a rigid body on an incline to slide before it topples?
- mu < w / h
- mu > w / h
- mu = 0
- mu = w / h
-
Which force acts towards the centre of a circle for an object in uniform circular motion?
- Centripetal force
- Tangential force
- Frictional force
- Centrifugal force
-
What is linear speed v for radius r and angular speed w?
- v = r / w
- v = w / r
- v = r^2 w
- v = r w
-
Calculate angular velocity in radians per second for a wheel rotating at 120 rpm.
- 4 pi rad s^-1
- 120 rad s^-1
- 2 pi rad s^-1
- 8 pi rad s^-1
-
What is centripetal acceleration for speed 4 m s^-1 in radius 2 m?
- 4 m s^-2
- 16 m s^-2
- 2 m s^-2
- 8 m s^-2
-
Which equation links centripetal acceleration a, radius r, and angular speed w?
- a = r / w^2
- a = r^2 w
- a = r^2 w^2
- a = r w^2
-
What is centripetal acceleration in terms of linear speed v and angular speed w?
- a = v^2 w
- a = v w^2
- a = v / w
- a = v w
-
In a conical pendulum, which force component provides the centripetal force?
- Total tension force
- Vertical tension component
- Horizontal tension component
- Weight force component
-
In a conical pendulum of angle theta to the vertical, what balances weight mg?
- T cos(theta)
- T sec(theta)
- T tan(theta)
- T sin(theta)
-
On a smooth track banked at angle theta, what provides centripetal force for a car?
- Engine force
- Normal reaction component
- Vertical weight component
- Frictional force
-
For a car on a smooth track banked at angle theta without slipping, what is tan(theta)?
- r g / v^2
- v^2 / (r g)
- v^2 g / r
- v / (r g)
-
What is the minimum speed at top of a vertical circle of radius r to maintain contact?
- r g
- 2 r g
- sqrt(r g)
- sqrt(2 r g)
-
What is the SI unit for angular velocity?
- deg s^-1
- m s^-1
- rad s^-1
- rad s
-
A particle moves in a vertical circle. Where on the path is string tension greatest?
- At 45 degrees
- At the top
- At the bottom
- At horizontal level
-
A uniform block of height 6 cm and width 4 cm rests on a slope. Find tan(theta) for toppling.
- 3/2
- 2/3
- 1/2
- 4/3
-
When a rigid body is about to topple on an incline, where does reaction force act?
- At the top
- At the edge
- At the midpoint
- At the centre
-
A 2 kg mass moves at angular speed 3 rad s^-1 in radius 0.5 m. Find centripetal force.
- 18 N
- 9 N
- 3 N
- 6 N
-
What happens to centripetal acceleration if angular speed doubles at constant radius?
- Doubles
- Stays constant
- Halves
- Quadruples
-
What work is done by centripetal force on a particle in uniform circular motion?
- Negative work
- Zero
- Variable work
- Positive work
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