THINK SOLVE LEARN SIMPLE HARMONIC MOTION SIMPLE PENDULUM

THINK SOLVE LEARN

SIMPLE HARMONIC MOTION: SIMPLE PENDULUM

LEARNING OBJECTIVES At the end of the discussion, the students are expected to: q. Define the simple pendulum and the condition under which it executes simple harmonic motion; q. Describe the motions of a simple pendulum; q. Identify the energy in the simple pendulum; q. Solve problems involving the simple pendulum; and q. Perform an activity related to the simple pendulum.

PRELIMINARY ACTIVITY INSTRUCTIONS: FACE THE MESSAGE first The activity is like pass the message. Students will be grouped into 4. Each group will choose an emoji which will serve as their group identity. The reactions from which they can choose from are: Haha, Wow, Sad or Angry. second Each group member will fall in line and as they relay the message, they will do the reaction their group chose throughout the activity. last The last group member will be the one to recite the statement while doing the reaction. The group with the most statement correctly guessed will be the winner.

PRELIMINARY ACTIVITY FACE THE MESSAGE YOU CAN CHOOSE IN THIS STATEMENTS: INSTRUCTIONS: A body that undergoes periodic motion always has a stable equilibrium position. Simple harmonic motion is the projection of uniform circular motion onto a diameter. A long pendulum has a longer period than a shorter one.

LEARNING OBJECTIVES At the end of the discussion, the students are expected to: q. Define the simple pendulum and the condition under which it executes simple harmonic motion; q. Describe the motions of a simple pendulum; q. Identify the energy in the simple pendulum; q. Solve problems involving the simple pendulum; and q. Perform an activity related to the simple pendulum.

◉ A simple pendulum is A S I T A H W another mechanical system E L P M I S that exhibits periodic motion. ? M U It consists of a small bob of L U D PEN mass m suspended by a light string of length L fixed at its upper end.

DID YOU KNOW? Holistic medical practitioners may sometimes use a dowsing pendulum for making diagnoses and determining the most appropriate treatment for a patient’s condition. Galileo observed a swinging chandelier in a cathedral in 1588, demonstrating an apparently continuous perpetual motion. This observation instigated an indepth study of pendulums.

LET’S EXPLORE SIMPLE PENDULUM BY EXAMINING THE CONDITIONS UNDER WHICH IT PERFORMS SIMPLE HARMONIC MOTION.

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity When a pendulum is released, the bob swings to and fro over the same path, the force of gravity is the restoring force that acts on the pendulum. The pendulum bob moves along a circular arc, rather than back and forth in a straight line.

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity A pendulum undergoes simple harmonic motion only when it swings back and forth at small amplitudes (or, in this case, small values of θ).

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity ◉

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity ◉

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity ◉

MOTION OF A SIMPLE PENDULUM θ Tension Restoring force Displacement Gravity ◉

The equations given on the previous slides only describes that… The motion of a pendulum is approximately simple harmonic for sufficiently small amplitude; the angular frequency ω, frequency f, and period T then depend only on g and L, not on the mass or amplitude.

ENERGY IN SIMPLE PENDULUM Whoa! Is energy really conserved?

In a simple pendulum with no friction, mechanical energy is conserved. The total mechanical energy is simply the sum of the two forms of energy – kinetic plus potential energy. As the pendulum swings back and forth, there is a constant exchange between PE kinetic energy and gravitational potential energy. L PE KE PE inc KE incr reases ses ecrea PE d KE dec reases

◉ L PE PE KE PE inc KE incr reases ses ecrea PE d KE dec reases

◉ L PE PE KE PE inc KE incr reases ses ecrea PE d KE dec reases

ACTIVITY Go to the ISIP App Simulations and choose Simple Pendulum. There are list of activities shown on screen. The activities are guided with some procedures. Just follow the instructions and enjoy!

YOU CAN ALSO EXPLORE & ANSWER SOME PROBLEM SETS ON ISIP APP!

THANKS! Any questions? You can contact us at ◉ isipapp 12@gmail. com ◉ 09121184165 CREDITS Presentation template by Slides. Carnival