Question
In: Physics
The position x of an object varies with time t. For which of the following equations...
The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)
The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)
| x = 5 sin23t |
| x = 5 sin 3t |
| x = 4 tan 2t |
| x = 2 cos(3t - 1) |
| x = 8 cos 3t |
Solutions
Expert Solution
Answer : the following equations relating x and t is the motion of the object simple harmonic motion :
- x = 5 sin 3t
- x = 2 cos(3t - 1)
- x = 8 cos 3t
The position of an object varies sinusoidally in simple harmonic motion. so it can be specified by sine or cosine functions.
genius_generous answered 3 years agoRelated Solutions
you plot the position(x) vs. time(t) for an object moving at a constant acceleration. Will the...
you plot the position(x) vs. time(t) for an object
moving at a constant acceleration. Will the slopes (velocity) be
constant or not? why?
Find the distance traveled by a particle with position (x, y) as t varies in the...
Find the distance traveled by a particle with position
(x, y) as t varies in the given time
interval.
x = 5 sin2 t, y =
5 cos2 t, 0 ≤ t ≤ 5π
What is the length of the curve?
The position of an object is given by the equation . Find the time at which the...
The position of an object is given by the equation . Find the
time at which the instantaneous velocity of the object
equals the average velocity in the interval .
The position of an object moving along an x axis is given by x = 3.12...
The position of an object moving along an x axis is
given by x = 3.12 t - 4.08 t2
+ 1.10 t3, where x is in meters and
t in seconds. Find the position of the object at the
following values of t: (a) 1 s,
(b) 2 s, (c) 3 s, and
(d) 4 s. (e) What is the object's
displacement between t = 0 and t = 4 s?
(f) What is its average velocity from t...
The vector position of a 3.70 g particle moving in the xy plane varies in time...
The vector position of a 3.70 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and
r
is in centimeters. At the same time, the vector position of a
5.80 g particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of
the system at t = 2.90 s.
rcm =
cm
(b)...
The vector position of a 3.95 g particle moving in the xy plane varies in time...
The vector position of a 3.95 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.70 g
particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)Determine the vector position (in cm) of the center of mass
of the system at t = 2.90 s.
rcm = cm
(b)Determine the...
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r1 = 3i + 3j t + 2jt2 where t is in
seconds and r is in centimeters. At the same time, the vector
position of a 5.00 g particle varies as r2 = 3i − 2it2 − 6jt. (a)
Determine the vector position of the center of mass at t = 2.40.
(b) Determine the linear momentum of the system at...
The vector position of a 3.05 g particle moving in the xy plane varies in time...
The vector position of a 3.05 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.15 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.60 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
An object on a single oscillating string may be modelled by differential equation x"(t)=-x(t) x(t) is...
An object on a single oscillating string may be
modelled by differential equation x"(t)=-x(t)
x(t) is the signed length of the string at time t.
a) the trivial solution x(t) =0 satisfies the
differential equation. describe what physical scenario this
solution represents.
b) find at least three other solutions to the differential
equation
c) describe what it means for this differential equation to have
multiple solutions. what do the solutions represent.
d) suppose a string is damped by friction. propose...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Why does a particular codon represent only one specific amino acid?
- Write a function template sort that takes two references to generic objects and switches them if...
- What 2 things happen to the melting point of a solid when an impurity is present?
- How Can Hominin Evolution be characterized as " mosaic evolution" Use examples of species from the...
- Absorption and Variable Costing Income Statements for Two Months and Analysis During the first month of...
- Mobile and wireless devices are being increasingly used in the Business Administration and Management Industry. write...
- What are the options that might be considered in relation to introducing flexible work practices? What...
ADVERTISEMENT