An object of mass M = 2.00 kg is attached to a spring with spring constant k = 352 N/m whose unstretched length is L = 0.120 m, and whose far end is fixed to a shaft that is rotating with an angular speed of w= 4.00 radians/s. Neglect gravity and assume that the mass also rotates with an angular speed of 4.00 radians/s as shown. (Figure 1)When solving this problem use an inertial coordinate system, as drawn here. (Figure 2) Figure min. < 1 of 2 @ Part A Given the angular speed of w= 4.00 radians/s, find the radius R (w) at which the mass rotates without moving toward or away from the origin. Express your answer in meters. ▸ View Available Hint(s) R(w) = Submit 195| ΑΣΦ Part B Complete previous part(s) Provide Feedback 1 ? m Next >

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An object of mass M = 2.00 kg is attached to a spring with
spring constant k = 352 N/m whose unstretched length is
L = 0.120 m, and whose far end is fixed to a shaft that is
rotating with an angular speed of w = 4.00 radians/s.
Neglect gravity and assume that the mass also rotates with
an angular speed of 4.00 radians/s as shown. (Figure
1) When solving this problem use an inertial coordinate
system, as drawn here. (Figure 2)
Figure
M
min.
R
< 1 of 2
3
>
Part A
Given the angular speed of w = 4.00 radians/s, find the radius R (w) at which the mass rotates without moving toward or away from the origin.
Express your answer in meters.
► View Available Hint(s)
R (w) =
Submit
—| ΑΣΦ
Part B Complete previous part(s)
Provide Feedback
?
m
Next
Transcribed Image Text:An object of mass M = 2.00 kg is attached to a spring with spring constant k = 352 N/m whose unstretched length is L = 0.120 m, and whose far end is fixed to a shaft that is rotating with an angular speed of w = 4.00 radians/s. Neglect gravity and assume that the mass also rotates with an angular speed of 4.00 radians/s as shown. (Figure 1) When solving this problem use an inertial coordinate system, as drawn here. (Figure 2) Figure M min. R < 1 of 2 3 > Part A Given the angular speed of w = 4.00 radians/s, find the radius R (w) at which the mass rotates without moving toward or away from the origin. Express your answer in meters. ► View Available Hint(s) R (w) = Submit —| ΑΣΦ Part B Complete previous part(s) Provide Feedback ? m Next
A solid sphere of ice and a solid sphere of plastic are placed
at the top of an inclined plane of length I and
simultaneously released from rest, as shown in (Figure 1).
Each has mass m and radius R. Assume that the coefficient
of friction between the ice sphere and the incline is zero and
that the plastic sphere rolls down the incline without slipping.
Derive expressions for the following quantities in terms of L,
0, m, and R: (a) the total kinetic energy of each sphere at
the bottom of the incline; (b) the translational speed of each
sphere at the bottom of the incline; (c) the translational
kinetic energy of each sphere at the bottom of the incline; (d)
the rotational kinetic energy of each sphere at the bottom of
the incline.
Figure
1 of 1
SET UP
Part A
Identify the nature of motion of each sphere as it moves down the incline.
Drag the appropriate items to their respective bins.
View Available Hint(s)
Translational
motion
Submit
ice sphere
plastic sphere
nbination of
translational and
rotational motion
Reset
Rotational moti
Help
Transcribed Image Text:A solid sphere of ice and a solid sphere of plastic are placed at the top of an inclined plane of length I and simultaneously released from rest, as shown in (Figure 1). Each has mass m and radius R. Assume that the coefficient of friction between the ice sphere and the incline is zero and that the plastic sphere rolls down the incline without slipping. Derive expressions for the following quantities in terms of L, 0, m, and R: (a) the total kinetic energy of each sphere at the bottom of the incline; (b) the translational speed of each sphere at the bottom of the incline; (c) the translational kinetic energy of each sphere at the bottom of the incline; (d) the rotational kinetic energy of each sphere at the bottom of the incline. Figure 1 of 1 SET UP Part A Identify the nature of motion of each sphere as it moves down the incline. Drag the appropriate items to their respective bins. View Available Hint(s) Translational motion Submit ice sphere plastic sphere nbination of translational and rotational motion Reset Rotational moti Help
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