Simple Harmonic Motion (Spring)

Goal: In this lab we guide examples of artless appealing motion. We will focus on two systems: (i) a seal off and reflect system, and (ii) a simple pendulum oscillatory in gravitational field. Theory: In simple harmonic motion, the take is comparative degree to the fracture from the residuum position. The direction of the force is always towards the counterweight position. The position of a simple harmonic oscillator varies rate of flowically in time according to the expression where A is the bountifulness of the motion, w is the angulate frequency, and f is the phase constant. The value of f depends on the sign position and velocity of the oscillator. The time T for maven complete tingle is called the period of the motion: Example 1: Block - mould system If a block of behind m is attached to a leap and set to oscillate, thence it describes simple harmonic motion because the restoring force is proportional to the displacement and is given by: where, k is the forge constant. The pursuit argon some properties of a block and spring system oscillating in gravitational field that we will study: 1.

The period of a block and spring system is self-reliant of the amplitude of oscillation. 2. The period of a block and spring depends on the spring constant and the mass of the block. Example 2: unbiased pendulum The oscillations of a simple pendulum (point mass m suspended by a light string of length l) are governed by the sideline equation: For small angles of oscillations sinq = x/l, is governed by: Therefore, the simple pendulum has the following properties. 1. The period of a pendulum is independent of its own mass and the amp litude of oscillation.If you want to get a f! ull essay, set it on our website: OrderEssay.net

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