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Physics Laboratory Experiments

Jerry D. Wilson, Cecilia A. Hernandez-Hall

Chapter 16

(TI/CI) Simple Harmonic Motion - all with Video Answers

Educators


Chapter Questions

02:18

Problem 1

Interpret the intercepts of the straight line for the spring elongation in the $m g$ -versus-y graph of Part B.

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
01:00

Problem 2

Is the elastic property of the rubber band a good example of Hooke's law? Explain.

Prabhu Ramji
Prabhu Ramji
Numerade Educator
07:47

Problem 3

Draw a horizontal line through the $y$ -intercept of the straight-line graph of $\mathrm{Part} \mathrm{B}$, and form a triangle by drawing a vertical line through the last data point.
(a) Prove that the area of the triangle is the work done in stretching the spring. (Hint:
$W=\frac{1}{2} k x^{2}$, and area of triangle $A=\frac{1}{2} a b$, that is, one-half the altitude $(a)$ times the base $(b) .)$

Harmender Singh Yadav
Harmender Singh Yadav
Numerade Educator
01:48

Problem 4

Interpret the $x$ -intercept of the straight line of the $T^{2}$ -versus- $m$ graph of Part $\mathrm{C}$.

Ren Jie Tuieng
Ren Jie Tuieng
Numerade Educator
02:11

Problem 5

For a mass oscillating on a spring, at what positions do the (a) velocity and (b) acceleration of the mass have maximum values?

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
01:35

Problem 6

What is the form of the equation of motion for the SHM of a mass suspended on a spring when the mass is initially (a) released $10 \mathrm{~cm}$ above the equilibrium position; (b) given an upward push from the equilibrium position so that it undergoes a maximum displacement of $8 \mathrm{~cm} ;$ and (c) given a downward push from the equilibrium position so that it undergoes a maximum displacement of $12 \mathrm{~cm}$ ? (Hint: Sketch the curve for the motion as in TI Fig. $16.2$ and fit the appropriate trigonometric function to the curve.)

Averell Hause
Averell Hause
Carnegie Mellon University
01:21

Problem 7

For case (a) in Question 6 only, what is the displacement $y$ of the mass at times
(a) $t=T / 2 ;$ (b) $t=3 T / 2 ;$ (c) $t=3 T$ ?

Ajay Singhal
Ajay Singhal
Numerade Educator