Dynamics Formula Sheet

The video tutorial provides a comprehensive overview of key dynamics concepts for first-year students. It covers velocity and acceleration vectors, projectile and circular motion, friction forces, relative motion, rigid body motion, and work-energy principles. The tutorial explains how to derive formulas for different types of motion and discusses the effects of forces and moments on rigid bodies. It also explores the principles of work and energy, including the conservation of mechanical energy.

What is the relationship between velocity and position vectors?

• Velocity is the integral of the position vector.

• Velocity is the derivative of the position vector with respect to time.

• Velocity is the sum of the position vector and time.

• Velocity is the product of the position vector and time.

In projectile motion, what is the acceleration in the horizontal direction?

• Equal to gravity

• Zero

• Equal to initial velocity

• Equal to final velocity

What is the formula for the maximum static friction force?

• F = MV^2/R

• F = MUKN

• F = MGR

• F = MUSN

How is the velocity of one particle relative to another determined?

• By multiplying the velocities of both particles

• By dividing the velocity of the first particle by the second

• By adding the velocities of both particles

• By subtracting the velocity of the second particle from the first

What does the parallel axis theorem help to calculate?

• The center of mass

• The moment of inertia about a new axis

• The angular velocity

• The linear velocity

What is the work-energy principle?

• The total energy is the sum of kinetic and thermal energy.

• Energy can neither be created nor destroyed.

• The change in energy is equal to the work done on the system.

• The sum of kinetic and potential energy is constant.

When is mechanical energy conserved?

• When nonconservative forces do no work

• When elastic energy is zero

• When potential energy is zero

• When kinetic energy is zero