A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring ir the frictionless air track. Its position asa function of time t is given by r(t) = (0.045 m)cos[(15 rad/s)t - /8).a) What is the spring constant?k=N/mb) What are the frequency and period of the oscillation?f=HzT=c) What is the maximum speed that the object reaches? vmax=m/sWhat is the particle's position when the velocity is maximum?d) What is the maximum acceleration that the object reaches? amax=m/s?What is the particle's position when the acceleration is maximum?e) What is the maximum energy of the system?KE=Jf) Find the acceleration of the object when the object is at x=0.025 m.m/s2a=

The distance x is The angular velocity is (a) The spring constant is

A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring in the frictionless air track. Its position as a function of time t is given by r(t) = (0.045 m)cos (15 rad/s)t- 7/8. a) What is the spring constant? k= N/m b) What are the frequency and period of the oscillation? f= Hz T= c) What is the maximum speed that the object reaches? vmax= m/s

A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring in the frictionless air track. Its position as a function of time t is given by r(t) = (0.045 m)cos (15 rad/s)t- 7/8. a) What is the spring constant? k= N/m b) What are the frequency and period of the oscillation? f= Hz T= c) What is the maximum speed that the object reaches? vmax= m/s

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

A 1.2 kg object is oscillating in simple harmonic motion at the end of an ideal horizontal spring ir the frictionless air track. Its position as
a function of time t is given by r(t) = (0.045 m)cos[(15 rad/s)t - /8).
a) What is the spring constant?
k=
N/m
b) What are the frequency and period of the oscillation?
f=
Hz
T=
c) What is the maximum speed that the object reaches? vmax=
m/s
What is the particle's position when the velocity is maximum?
d) What is the maximum acceleration that the object reaches? amax=
m/s?
What is the particle's position when the acceleration is maximum?
e) What is the maximum energy of the system?
KE=
J
f) Find the acceleration of the object when the object is at x=0.025 m.
m/s2
a=

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