What condition must be met for an object to be in rotational equilibrium?
A. Net torque = 0
B. Net force = 0
C. Angular velocity = 0
D. Linear acceleration = 0
What is: A. Net torque = 0?
What quantity is conserved when no external torques act on a system?
What is: Angular momentum?
In a mass-spring system, where is kinetic energy maximized?
What is: At equilibrium position?
What does Archimedes’ principle state?
What is: The buoyant force equals the weight of the displaced fluid?
How are torque and force similar?
What is: Both cause motion?
A 5 N force is applied perpendicular to a wrench 0.2 m from the pivot. What is the torque?
What is: 1.0 N·m?
A solid disk (I = 0.5MR²) of mass 4 kg and radius 0.3 m spins at 10 rad/s. What is its rotational kinetic energy?
What is: 9 J?
What is the period of a 0.25 kg mass on a spring with k = 100 N/m?
What is: 0.99 s?
A 2 kg object is submerged in water and appears to weigh 12 N. What is the buoyant force?
What is: 7.6 N?
What is the moment of inertia of a hoop (mass 3 kg, radius 0.5 m)?
What is: 0.75 kg·m²?
If a force is applied at the axis of rotation, what torque is produced?
What is: Zero torque?
What causes an increase in angular velocity in a figure skater pulling arms in?
What is: Moment of inertia decreases, so angular velocity increases to conserve angular momentum?
What determines the frequency of a pendulum?
What is: Length of the string and gravity?
Why do objects float?
What is: Their weight is less than the buoyant force?
What variable affects fluid pressure most?
What is: Depth?
A uniform beam of mass 20 kg and length 4 m is supported at one end. What is the torque due to its weight?
What is: 392 N·m
A torque of 3 N·m acts on a wheel with I = 2 kg·m². What is its angular acceleration?
What is: 1.5 rad/s²?
A pendulum is 0.5 m long. What is its period?
What is: 1.41 s?
A cube of side 0.1 m is fully submerged in water. What is the pressure at its bottom surface?
What is: 1000 Pa?
If a spring oscillates with amplitude 0.2 m and max speed 1.5 m/s, what is the angular frequency?
What is: 7.5 rad/s?
What affects an object’s rotational inertia?
What is: Mass and its distribution from the axis of rotation?
What is the direction of angular momentum?
What is: Perpendicular to the plane of rotation
What type of force is a restoring force?
What is: A force that acts to return the system to equilibrium?
What causes pressure in a fluid?
What is: The weight of the fluid above the point?
When a person walks along a balanced seesaw, what changes?
What is: The torque distribution changes, which can tip the seesaw if unbalanced?