Simple Harmonic Motion - Graphs of Mechanical Energies

The video tutorial explores the graphs of kinetic and elastic potential energy in a frictionless horizontal mass spring system. It discusses the positions where displacement and velocity have specific values, analyzes the kinetic and elastic potential energy graphs, and explains the conservation of mechanical energy. The tutorial also examines the effects of friction on the system, highlighting how energy is dissipated as heat, leading to a decrease in amplitude and velocity.

What is the velocity of the mass at positions 1 and 3 in a mass-spring system?

• Negative

• Constant

• Zero

• Maximum

Why is the kinetic energy of the mass zero at positions 1 and 3?

• The velocity of the mass is zero.

• The mass is at rest position.

• The mass is at maximum velocity.

• The displacement is zero.

At which position does the elastic potential energy reach its maximum value?

• At any position

• At rest position

• Position 1 and 3

• Position 2

What does a horizontal line in the energy graph of a mass-spring system represent?

• Decreasing energy

• Increasing energy

• Constant total mechanical energy

• Variable energy

How does friction affect the total mechanical energy of a mass-spring system?

• It increases the total mechanical energy.

• It decreases the total mechanical energy.

• It has no effect on the total mechanical energy.

• It makes the energy constant.

What happens to the amplitude of the mass-spring system when friction is present?

• It remains constant.

• It decreases over time.

• It increases over time.

• It becomes zero immediately.

What is the relationship between the total mechanical energy and the energy dissipated by friction?

• The dissipated energy is always greater.

• They are unrelated.

• Their sum remains constant.

• The total mechanical energy is always greater.