All flashcards
Flashcard 1: Calculate power: W=200 J, t=5 s.
Answer: P=40 W. P=5200=40 W.
Flashcard 2: Define lever arm in the context of torque.
Answer: Perpendicular distance from axis of rotation to line of action of force. The shortest distance determines the effectiveness of the applied force.
Flashcard 3: State the principle of conservation of mechanical energy.
Answer: Total mechanical energy remains constant if only conservative forces act. Energy converts between kinetic and potential but total stays constant.
Flashcard 4: What is the formula for instantaneous power in terms of force and velocity?
Answer: P=F⋅v⋅cos(θ). Where v is velocity and θ is angle between force and velocity vectors.
Flashcard 5: State the SI unit for work.
Answer: Joule (J). Work is energy transfer, measured in joules (force × distance).
Flashcard 6: Define the term 'moment arm' in physics.
Answer: Another term for lever arm. Moment arm and lever arm are synonymous terms in rotational mechanics.
Flashcard 7: State the unit of torque in the International System of Units (SI).
Answer: Newton meter (N·m). Torque combines force and distance, so units are force × distance.
Flashcard 8: What is the relationship between work and energy?
Answer: Work is the transfer of energy. Work changes an object's kinetic or potential energy state.
Flashcard 9: What is the relationship between force and torque?
Answer: Torque is the rotational equivalent of force. Torque causes rotation just as force causes linear acceleration.
Flashcard 10: What happens to torque if the lever arm is doubled?
Answer: Torque is doubled. Torque is directly proportional to lever arm in the formula.
Flashcard 11: How does torque affect rotational motion?
Answer: Causes angular acceleration. Net torque produces angular acceleration according to τ=Iα.
Flashcard 12: What is the formula for rotational work?
Answer: W=τ⋅θ. Where τ is torque and θ is angular displacement in radians.
Flashcard 13: Calculate power: W=200 J, t=5 s.
Answer: P=40 W. P=5200=40 W.
Flashcard 14: What happens to torque if the lever arm is doubled?
Answer: Torque is doubled. Torque is directly proportional to lever arm in the formula.
Flashcard 15: Calculate the work done by a 5 N force over 3 m in the same direction.
Answer: W=15 J. W=5×3×cos(0°)=15 J.
Flashcard 16: What is the rotational equivalent of mass in linear motion?
Answer: Moment of inertia. Moment of inertia measures resistance to angular acceleration.
Flashcard 17: What is the formula for gravitational potential energy?
Answer: U=mgh. Potential energy depends on mass, gravity, and height above reference.
Flashcard 18: State the work-energy principle.
Answer: Work done on an object equals change in kinetic energy. Net work equals the change in kinetic energy of the object.
Flashcard 19: What is the formula for instantaneous power in terms of force and velocity?
Answer: P=F⋅v⋅cos(θ). Where v is velocity and θ is angle between force and velocity vectors.
Flashcard 20: What is the formula for work done by a constant force?
Answer: W=F⋅d⋅cos(θ). Where F is force, d is displacement, and θ is angle between them.
Flashcard 21: State the principle of conservation of mechanical energy.
Answer: Total mechanical energy remains constant if only conservative forces act. Energy converts between kinetic and potential but total stays constant.
Flashcard 22: If power is 50 W and time is 2 s, what is the work done?
Answer: W=100 J. W=P×t=50×2=100 J.
Flashcard 23: Identify the rotational analog of Newton's second law.
Answer: τ=Iα. Relates torque to moment of inertia and angular acceleration.
Flashcard 24: How is net work related to net force?
Answer: Net work is done by net force. Net work is the sum of work done by all forces acting.
Flashcard 25: Calculate work: F=10 N, d=4 m, θ=0°.
Answer: W=40 J. W=10×4×cos(0°)=40 J.
Flashcard 26: How does torque affect rotational motion?
Answer: Causes angular acceleration. Net torque produces angular acceleration according to τ=Iα.
Flashcard 27: What is the condition for mechanical equilibrium?
Answer: Net force and net torque must both be zero. Object neither translates nor rotates when all forces and torques balance.
Flashcard 28: If θ=0°, what is cos(θ) in the work formula?
Answer: cos(θ)=1. When force and displacement are parallel, maximum work is done.
Flashcard 29: What is the effect of zero net torque on an object's rotation?
Answer: No change in rotational motion. Zero net torque means constant angular velocity (including zero).
Flashcard 30: Identify the condition for equilibrium in terms of net torque.
Answer: Net torque must be zero. No net rotation occurs when clockwise and counterclockwise torques balance.