An object attached to a spring vibrates with simple harmonic motion as described

Question

An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude. cm (b) For this motion, find the period. s (C) For this motion, find the angular frequency. rad/s (d) For this motion, find the maximum speed. cm/s (e) For this motion, find the maximum acceleration. cm/s^2 (f) For this motion, find an equation for its position x in terms of a sine function. (Do this on paper. Your instructor may ask you to turn in this work.)

Explanation / Answer

part a )

amplitude is maximum displacement from mean position

here maximum displacement = 2cm = Amplitude

part b )

period is one full cycle for the motion means from where it start again from that place so here wave is coming after 4s

Time period = 4s

Part c )

Angular velocity = 2pi/T

w = 2pi/4

w = pi/2 rad/s

Part d )

maximum speed = vmax = Aw

here A = amplitude , w = angular velocity

Vmax = 2cm x pi/2

vmax = pi cm/s

part e )

maximum acceleration = Aw^2

A = 2cm w = pi/2 rad/s

amax = 2*(pi/2)^2 = 4.93 cm/s^2

part f )

x = Asin(wt)

x = 2sin((pi/2)*t)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.