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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= 2.40 m. At some instant...
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
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 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...
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...
A particle undergoes uniform circular motion. This means that it moves in a circle of radius...
A particle undergoes uniform circular motion. This means that it moves in a circle of radius R about the origin at a constant speed. The position vector of this motion can be written Here, analogous to the simple harmonic motion problem of HW 1, ω is the angular frequency and has units of rad/s 1/s and can also be written in terms of the period of the motion as 2π (a) Show that the particle resides a distance R away...
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.
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)
b) A particle accelerates around a circle of radius 4 m. At a certain point A,...
b) A particle accelerates around a circle of radius 4 m. At a certain point A, the speed is 3 m/s. After traveling another quarter revolution to point B, the speed has increased to 6 m/s. Calculate at using kinematics relationships for angular displacement, angular velocity and angular acceleration in rotation about a fixed point as well as the relationships between these rotational terms and tangential velocity and tangential acceleration. [10 marks]
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)
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
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 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...
A particle undergoes uniform circular motion. This means that it moves in a circle of radius R about the origin at a constant speed. The position vector of this motion can be written Here, analogous to the simple harmonic motion problem of HW 1, ω is the angular frequency and has units of rad/s 1/s and can also be written in terms of the period of the motion as 2π (a) Show that the particle resides a distance R away...
b) A particle accelerates around a circle of radius 4 m. At a certain point A, the speed is 3 m/s. After traveling another quarter revolution to point B, the speed has increased to 6 m/s. Calculate at using kinematics relationships for angular displacement, angular velocity and angular acceleration in rotation about a fixed point as well as the relationships between these rotational terms and tangential velocity and tangential acceleration. [10 marks]
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