Question
In: Physics
The coordinates of an object moving in the xy plane vary with time according to the...
The coordinates of an object moving in the xy plane vary with time according to the equations x = −5.08 sin ωt and y = 4.00 − 5.08 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds.
(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: ω.) v with arrow = m/s
(b) Determine the components of the acceleration of the object at t = 0. (Use the following as necessary: ω.) a with arrow = m/s2
(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for ω and t.) r with arrow = m v with arrow = m/s a with arrow = m/s2
(d) Describe the path of the object in an xy plot.
Solutions
genius_generous answered 4 months agoRelated Solutions
The coordinates of an object moving in the XY plane vary with time according to the...
The coordinates of an object moving in the XY plane
vary with time according to the
equations x = −7.43 sin
ωt and y = 4.00 − 7.43
cos ωt,
where ω is a constant, x and y are in
meters, and t is in seconds.
(a) Determine the components of the velocity of the object at
t = 0. (Use the following as necessary: ω.)
(b) Determine the components of the acceleration of
the object at t = 0. (Use the...
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
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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
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(b) Determine the linear momentum of the system at...
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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.
5. A loop of wire (whose plane is in the xy plane), is moving in the...
5. A loop of wire (whose plane is in the xy plane), is moving in
the +x direction through a uniform B-field (5.0 T, directed into
the xy plane...ie., along the -z axis). What is direction of the
induced current in the loop?
a. Clockwise when viewed from the front
b. Counterclockwise when viewed from the front
c. The current direction alternates back and forth in the
loop
d. There is no induced current in the loop
6. Refer to...
The charges and coordinates of two charged particles held fixed in an xy plane are q1...
The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 2.55 μC,
x1 = 5.88 cm, y1 = 0.699 cm
and q2 = -4.34 μC, x2 =
-2.79 cm, y2 = 1.92 cm. Find the
(a) magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...
The charges and coordinates of two charged particles held fixed in an xy plane are q1...
The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 2.76 μC,
x1 = 5.33 cm, y1 = 0.983 cm
and q2 = -4.96 μC, x2 =
-1.59 cm, y2 = 2.49 cm. Find the
(a) magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...
The charges and coordinates of two charged particles held fixed in an xy plane are q1...
The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 2.28 μC,
x1 = 5.73 cm, y1 = 0.853 cm
and q2 = -4.57 μC, x2 =
-2.02 cm, y2 = 1.22 cm. Find the
(a) magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...
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