17. Periodic Motion

Simple Harmonic Motion of Vertical Springs

Oscillations Demo: Mass Spring System

Physics - Mechanics: Simple Harmonic Motion (3 of 5) Mass on Spring

Physics - Mechanics: Ch 16.5 Simple Harmonic Motion-2 Springs (5 of 5) 2 Springs in Series, 2 Mass

Simple harmonic motion - vertical spring

<p>A chair of mass 30 kg on top of a spring oscillates with a period of 2s. (a) Find the spring’s force constant. You place an object on top of the chair, and it now oscillates with a period of 3s. (b) Find the object’s mass.</p>

 A <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">kg</mi></mrow></mrow></math> block is gently lowered onto a vertical spring, and the spring compresses <math display=“inline”><mrow><mn>5</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow><mo>.</mo></mrow></math> Another block is added, and the spring compresses an additional <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow><mo>.</mo></mrow></math> What is the mass of the second block added? 

Solution  to Problem #78, Vertical Spring

 A spring with spring constant <math><mrow><mn>2500</mn><mtext></mtext><mtext>&#x00A0;N/m</mtext></mrow></math> has one end connected to the ceiling and the other end fastened to a <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">kg</mi></mrow></mrow></math> mass. The mass is oscillating with amplitude 3.0 cm. How fast is the mass moving when it is <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></mrow></math> above the equilibrium position? 

Simple Harmonic Motion 3 - Mass on a vertical spring

Vertical Springs | Simple Harmonic Motion | AP Physics C

Example

<p>A spring with spring constant 15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 6.0 cm and released. If the ball makes 30 oscillations in 20 s, what are its (a) mass and (b) maximum speed?</p>

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