Final answer:
The question involves applying the torque formula τ = -mgLsin(θ) to a simple pendulum with known mass and tether length, which is a high school physics concept.
Step-by-step explanation:
The questions you've presented involve concepts related to rotational motion and dynamics, which are part of the physics curriculum typically studied in high school. They touch on topics such as torque, angular velocity, acceleration, and the moment of inertia. Let's address one of the questions in more detail:
Torque on a Simple Pendulum
A simple pendulum made of a massless tether and a small mass at the end represents a physical pendulum. The torque (τ) about the pivot when the pendulum is displaced is given by the equation τ = -mgLsin(θ), where m is the mass at the end of the tether, g is the acceleration due to gravity, L is the length of the tether, and θ is the angle between the tether and the vertical. Since this pendulum has a tether length of 50 cm (0.5 m) and a mass of 1.0 kg, if we take θ to be the angle of displacement, you can calculate the torque for a specific angle using the provided values.