![A particle is traveling counterclockwise in a circle of radius r= 2.40 m. At some instant in time, the particle is located by the angular coordinate α-30.0°, the total acceleration has a magnitude of a-12.0 m/s2 and is directed at an angle β-20.0o with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector H 2.11+ 12] (b) velocity 哭: Infss (c) total acceleration Tutorial](http://img.homeworklib.com/questions/67feaeb0-34f8-11ec-b175-195b64ca32a1.png?x-oss-process=image/resize,w_560)
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A particle is traveling counterclockwise in a circle of radius r= 2.40 m. At some instant...
A particle is traveling counterclockwise in a circle of radius r = 2.35 m. At some...
A particle is traveling counterclockwise in a circle of radius r = 2.35 m. At some instant in time, the particle is located by the angular coordinate a = 28.0°, the total acceleration has a magnitude of a = 13.5 m/sand is directed at an angle ß = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector (b) velocity m/s (c) total acceleration
A particle P travels with constant speed on a circle of radius r = 2.40 m...
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
A particle rotates in a circle of radius 4.60 m . At a particular instant its...
A particle rotates in a circle of radius 4.60 m . At a particular instant its acceleration is 1.30 m/s^2 in a direction that makes an angle of 38.0 degrees to its direction of motion. A) Determine its speed at this moment (m/s) B) Determine its speed 2.20 s later, assuming constant tangential acceleration (m/s)
A car is speeding up uniformly at a rate of 0.400 m/s2 while traveling counterclockwise around...
A car is speeding up uniformly at a rate of 0.400 m/s2 while traveling counterclockwise around a circular track of radius 500 m. At the instant the car is moving due north, its speed is 9.00 m/s. What is the magnitude (in m/s2) and direction (in degrees west of north) of the total acceleration of the car at this instant? Use a positive angle for west of north and a negative angle for east of north.
This figure (|a| = 14.5 m/s2) represents the total acceleration of a particle moving clockwise in...
This figure (|a| = 14.5 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 1.70 m at a certain instant of time. (a) For that instant, find the radial acceleration of the particle. m/s2 (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s2 (in the direction of the motion)
The disk of radius r = 1.5 m rolls without slipping on the incline with angle...
The disk of radius r = 1.5 m rolls without slipping on the incline with angle 0 = 30°. Simultaneously, the small particle A moves along the slot located at distance d = 0.3 m from the center of the disk. At the instant shown, the disk has a constant clockwise angular speedw = 1 rad/s, and the particle is in position x = 0.4 m which is increasing at a constant rate į = 1.3 m/s. Determine the magnitude...
At the instant shown, cars A and B are traveling at velocities of 58 m/s and...
At the instant shown, cars A and B are traveling at velocities of 58 m/s and 32 m/s , respectively. B is increasing its velocity by 2 m/s2, while A maintains a constant velocity. The radius of curvature at B is?B = 200 m.
Part A
Determine the magnitude of the velocity of B with respect to A.
Part B
Determine the direction angle of the velocity of B with respect to A.
Part C
Determine the magnitude of the...
A small particle of mass m is at rest on a horizontal circular platform that is...
A small particle of mass m is at rest on a horizontal circular platform that is free to rotate about a vertical axis through its center. The particle is located at a radius r from the axis, as shown in the figure above. The platform begins to rotate with constant angular acceleration α . Because of friction between the particle and the platform, the particle remains at rest with respect to the platform. When the platform has reached angular speed...
A small object with mass 3.70 kg moves counterclockwise with constant speed 6.10 m/s in a...
A small object with mass 3.70 kg moves counterclockwise with constant speed 6.10 m/s in a circle of radius 4.80 m centered at the origin. It starts at the point with position vector (4.80i 0 ) m. Then it undergoes an angular displacement of 9.00 rad. (a) What it its position vector? 1 + i) m (b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis? Selectat A° (c) What...
A small object with mass 3.60 kg moves counterclockwise withconstant speed 1.30 rad/s in a...
A small object with mass 3.60 kg moves counterclockwise with constant speed 1.30 rad/s in a circle of radius 3.45 m centered at the origin. It starts at the point with position vector 3.45î m. Then it undergoes an angular displacement of 8.75 rad.(a) What is its new position vector?(b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis?(c) What is its velocity?(d) In what direction is it moving?(e) What...
A particle is traveling counterclockwise in a circle of radius r = 2.35 m. At some instant in time, the particle is located by the angular coordinate a = 28.0°, the total acceleration has a magnitude of a = 13.5 m/sand is directed at an angle ß = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector (b) velocity m/s (c) total acceleration
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
The disk of radius r = 1.5 m rolls without slipping on the incline with angle 0 = 30°. Simultaneously, the small particle A moves along the slot located at distance d = 0.3 m from the center of the disk. At the instant shown, the disk has a constant clockwise angular speedw = 1 rad/s, and the particle is in position x = 0.4 m which is increasing at a constant rate į = 1.3 m/s. Determine the magnitude...
At the instant shown, cars A and B are traveling at velocities of 58 m/s and 32 m/s , respectively. B is increasing its velocity by 2 m/s2, while A maintains a constant velocity. The radius of curvature at B is?B = 200 m.
Part A
Determine the magnitude of the velocity of B with respect to A.
Part B
Determine the direction angle of the velocity of B with respect to A.
Part C
Determine the magnitude of the...
A small particle of mass m is at rest on a horizontal circular platform that is free to rotate about a vertical axis through its center. The particle is located at a radius r from the axis, as shown in the figure above. The platform begins to rotate with constant angular acceleration α . Because of friction between the particle and the platform, the particle remains at rest with respect to the platform. When the platform has reached angular speed...
A small object with mass 3.70 kg moves counterclockwise with constant speed 6.10 m/s in a circle of radius 4.80 m centered at the origin. It starts at the point with position vector (4.80i 0 ) m. Then it undergoes an angular displacement of 9.00 rad. (a) What it its position vector? 1 + i) m (b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis? Selectat A° (c) What...
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