Questions and Answers
What will be the centripetal force on a 0.5 kg ball moving in a circle of radius 0.4 m at a speed of 4 m/s?
If the radius of a circular path is doubled while keeping frequency constant, what is the new centripetal force if the initial force was F?
What can be concluded about the angular acceleration of a particle moving with uniform speed along a circular path?
What is the maximum angular velocity that can be reached based on the given options?
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Which statement about the angular acceleration of a particle moving in a circular path is accurate?
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What are the conditions for a motion to be classified as uniform circular motion?
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What happens to the force exerted towards the center of a circular path when a motorcycle driver doubles their velocity?
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In uniform circular motion, how are the velocity vector and acceleration vector oriented with respect to each other?
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What type of force is required to maintain a body in uniform circular motion?
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Which statement correctly describes tangential and radial accelerations in uniform circular motion?
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Study Notes
Maximum Angular Velocity
- Maximum angular velocity can have values such as 100 rad/s, 1000 rad/s, 10000 rad/s, and 0.1 rad/s.
Angular Acceleration
- Angular acceleration of a particle moving in a circular path with uniform speed is:
- Uniform but non-zero
- Zero
- Variable
- Cannot be predicted from given information
Centripetal Force
- When the radius of a circular path is doubled while maintaining constant frequency, the centripetal force changes from F to:
- F
- F/2
- 4F
- 2F
Motion Characteristics
- Radial (ar) and tangential (at) acceleration conditions for uniform circular motion are:
- ar = 0 and at = 0
- ar = 0 but at ≠ 0
- ar ≠ 0 but at = 0
- ar ≠ 0 and at ≠ 0
Velocity and Acceleration Relationship
- In uniform circular motion, the velocity vector and acceleration vector are:
- Perpendicular to each other
- Same direction
- Opposite direction
- Not related to each other
Tension in Pendulum Strings
- The tension in a string with mass m varies at different positions:
- Always equal to mg cosθ
- Never equal to mg cosθ
- At extreme positions
- At the mean position
Pendulum Speed Variation
- A pendulum bob with speed 3 m/s at its lowest point drops to an angle of 60° with a pendulum length of 0.5 m, determining new speed:
- 2 m/s
- 1 m/s
- 4 m/s
- 3 m/s
Speed of a Car on a Banked Curve
- A car of mass 1000 kg negotiating a banked curve of radius 90 m at a banking angle of 45° can maintain a speed of:
- 5 m/s
- 10 m/s
- 20 m/s
- 30 m/s
Average Velocity and Speed on a Circular Track
- For a car running at constant speed on a circular track of radius 100 m, taking 62.8 seconds per lap, average velocity and speed options include:
- 0, 0
- 0, 10 m/s
- 10 m/s, 10 m/s
- 10 m/s, 0
Maximum Speed of a Car
- The maximum speed for a car on a level circular track with radius R and coefficient of static friction µs is given by:
- mRg / µs
Tension in Circular Motion
- For a point mass 'm' at the lowest point of a vertical circle of radius 'r', with velocity 7gr, the tension in the string is:
- 6 mg
- 7 mg
- 8 mg
- 1 mg
Rotating Cylinder
- A block of mass 10 kg in contact against the inner wall of a rotating cylinder must meet angular velocity requirements. For it to stay stationary, the minimum required angular velocity is:
- 10 rad/s
- 2π rad/s
- 10 rad/s
- 10π rad/s
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Description
Test your knowledge on the dynamics of horizontal circular motion with this quiz. Explore questions about maximum angular velocity and other key concepts. Perfect for students studying physics in advanced courses.
