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Questions and Answers
What is the work done by gravity when a mass of 50 kg is lifted to a height of 10 meters?
What is the work done by gravity when a mass of 50 kg is lifted to a height of 10 meters?
- 3000 J
- 4900 J (correct)
- 5000 J
- 9800 J
How far should the second child sit from the pivot to balance the seesaw?
How far should the second child sit from the pivot to balance the seesaw?
- 1.5 meters
- 5 meters
- 3 meters
- 2.25 meters (correct)
What is the torque produced by a force of 600 N applied at a distance of 5 meters from the pivot?
What is the torque produced by a force of 600 N applied at a distance of 5 meters from the pivot?
- 3000 N-m (correct)
- 600 N-m
- 1800 N-m
- 1500 N-m
What is the formula used to calculate power in relation to work and time?
What is the formula used to calculate power in relation to work and time?
What is the gravitational force acting on a mass of 3 kg?
What is the gravitational force acting on a mass of 3 kg?
What is the formula used to calculate work done?
What is the formula used to calculate work done?
If the force F is 200 N and the velocity v is 20 m/s, what is the power P calculated in watts?
If the force F is 200 N and the velocity v is 20 m/s, what is the power P calculated in watts?
What does the equation W × x = 0 indicate about the weight of the rod?
What does the equation W × x = 0 indicate about the weight of the rod?
Considering the balance moment equation, what can be inferred if 1.5 + W × x = 1.5?
Considering the balance moment equation, what can be inferred if 1.5 + W × x = 1.5?
What physical interpretation can be derived from the statement that the weight of the rod W = 0 with regard to balancing?
What physical interpretation can be derived from the statement that the weight of the rod W = 0 with regard to balancing?
What is the distance from the pivot to the second child when the system is in equilibrium?
What is the distance from the pivot to the second child when the system is in equilibrium?
When considering uniform bodies, where is the center of gravity located?
When considering uniform bodies, where is the center of gravity located?
What principle is used to find the center of gravity for non-uniform bodies?
What principle is used to find the center of gravity for non-uniform bodies?
In translational equilibrium, what condition must be satisfied?
In translational equilibrium, what condition must be satisfied?
Which condition defines rotational equilibrium?
Which condition defines rotational equilibrium?
What would happen if the moments were not equal about a pivot in a system with two children of different masses?
What would happen if the moments were not equal about a pivot in a system with two children of different masses?
If a uniform rod is balanced at its midpoint, what does this indicate about its center of gravity?
If a uniform rod is balanced at its midpoint, what does this indicate about its center of gravity?
What is the calculated power output if the force exerted is 4000 N over a distance covered in 1 second?
What is the calculated power output if the force exerted is 4000 N over a distance covered in 1 second?
What is the maximum number of marks available for Section A in this test?
What is the maximum number of marks available for Section A in this test?
What force is applied to the 10-meter-long plank in the example?
What force is applied to the 10-meter-long plank in the example?
Which of the following describes a condition for a rigid body to be in equilibrium?
Which of the following describes a condition for a rigid body to be in equilibrium?
How far from the pivot is the mass of 2 kg placed on the seesaw?
How far from the pivot is the mass of 2 kg placed on the seesaw?
What is the formula for calculating work done against gravity when raising a mass?
What is the formula for calculating work done against gravity when raising a mass?
When a 50 kg mass is raised by 10 meters, what is the calculated work done against gravity? (Use g = 9.8 m/s²)
When a 50 kg mass is raised by 10 meters, what is the calculated work done against gravity? (Use g = 9.8 m/s²)
What is the formula for power in terms of force and velocity?
What is the formula for power in terms of force and velocity?
What is the constant speed of a car moving under a force of 200 N as mentioned in the question on power?
What is the constant speed of a car moving under a force of 200 N as mentioned in the question on power?
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Study Notes
Exam Structure
- The paper comprises 7 compulsory questions divided into two sections: Section A (Short Answer) and Section B (Long Answer).
- Section A consists of 4 questions with a maximum score of 10 marks.
- Section B contains 5 to 7 questions worth a maximum of 10 marks.
Key Concepts in Equilibrium
- Conditions for Equilibrium:
- Translational Equilibrium: The sum of all forces acting on the body must equal zero (ΣF = 0).
- Rotational Equilibrium: The sum of all moments (torques) acting on the body about any axis must equal zero (Στ = 0).
Working with Moments
- A seesaw is balanced using the principle of moments, which involves calculating distances from the pivot to ensure equal torque on both sides.
- Example problem involves balancing a seesaw with two children of different masses at varying distances from the pivot.
Work and Energy
- Work Done against Gravity Formula: W = m × g × h
- m = mass (kg), g = acceleration due to gravity (9.8 m/s²), h = height (m).
- Example calculation for raising a 50 kg mass by 10 meters yields 4900 joules of work done against gravity.
Torque Calculation
- Torque (τ) is calculated as τ = F × d, where:
- F = force applied,
- d = perpendicular distance from pivot.
- Example problem calculates torque due to a 600 N force at an angle of 30° applied at the end of a 10-meter plank.
Centers of Gravity
- Uniform Bodies: The center of gravity (CG) is located at the geometric center (e.g., midpoint for a uniform rod, center for a sphere).
- Non-Uniform Bodies: The CG can be found using the principle of moments or balancing techniques.
Power Calculation
- Power Formula: P = Work / Time, can be expressed in terms of force and velocity as P = F × v.
- Example demonstrates a car moving at 20 m/s under 200 N of force results in a power output of 4000 watts.
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