The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). d= 10 sin (4t) (a) Describe the motion of the object. Is the motion simple harmonic? - bt b2 2m O A. Yes, because the given equation is not in the form of d(t) = a e cos 4m2 - bt b? 2m O B. No, because the given equation is in the form of d(t) = a e 4m2 Oc. Yes, because the given equation is in the form of d= a sin ot. O D. No, because the given equation is not in the form of d = a sin wt. (b) What is the maximum displacement from its resting position? meters (c) What is the time required for one oscillation? second(s) (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)

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Chapter15: Oscillatory Motion
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The displacement d​ (in meters) of an object at time t​ (in seconds) is given by the following equation. Answer parts​ (a) through​ (d).
 
 
The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d).
d= 10 sin (4t)
(a) Describe the motion of the object.
Is the motion simple harmonic?
- bt
b?
2m
O A. Yes, because the given equation is not in the form of d(t) = a e
cos
4m2
- bt
b?
2m
O B. No, because the given equation is in the form of d(t) = a e
4m2
OC. Yes, because the given equation is in the form of d = a sin wt.
O D. No, because the given equation is not in the form of d= a sin ot.
(b) What is the maximum displacement from its resting position?
meters
(c) What is the time required for one oscillation?
second(s)
(Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
(d) What is the frequency?
| oscillations per second
(Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). d= 10 sin (4t) (a) Describe the motion of the object. Is the motion simple harmonic? - bt b? 2m O A. Yes, because the given equation is not in the form of d(t) = a e cos 4m2 - bt b? 2m O B. No, because the given equation is in the form of d(t) = a e 4m2 OC. Yes, because the given equation is in the form of d = a sin wt. O D. No, because the given equation is not in the form of d= a sin ot. (b) What is the maximum displacement from its resting position? meters (c) What is the time required for one oscillation? second(s) (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (d) What is the frequency? | oscillations per second (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
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