Any help with these would be greatly appreciated! An object of mass M = 2.00 kg is attached to a spring withspring constant k = 352 N/m whose unstretched length isL = 0.120 m, and whose far end is fixed to a shaft that isrotating with an angular speed of w = 4.00 radians/s.Neglect gravity and assume that the mass also rotates withan angular speed of 4.00 radians/s as shown. (Figure1) When solving this problem use an inertial coordinatesystem, as drawn here. (Figure 2)FigureMmin.R< 1 of 23>Part AGiven 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—| ΑΣΦPart B Complete previous part(s)Provide Feedback?mNext A solid sphere of ice and a solid sphere of plastic are placedat the top of an inclined plane of length I andsimultaneously released from rest, as shown in (Figure 1).Each has mass m and radius R. Assume that the coefficientof friction between the ice sphere and the incline is zero andthat 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 atthe bottom of the incline; (b) the translational speed of eachsphere at the bottom of the incline; (c) the translationalkinetic energy of each sphere at the bottom of the incline; (d)the rotational kinetic energy of each sphere at the bottom ofthe incline.Figure1 of 1SET UPPart AIdentify 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)TranslationalmotionSubmitice sphereplastic spherenbination oftranslational androtational motionResetRotational motiHelp

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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 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 >

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 >

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 18P: Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The...

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A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find the magnitude of theconstant angular acceleration of the wheel. b. Through whatangle does the wheel move in 6.325 s?
Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
Figure P10.18 shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a from sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle relative to the road, (d) What pieces of data, if any, are not necessary for the calculations?
Consider two objects with m1 m2 connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation as shown in Figure P10.44. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance 2h. (a) Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other. (b) Find the angular speed of the pulley at this time.
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Two spheres, one hollow and one solid, are rotating with the same angular speed around an axis through their centers. Both spheres have the same mass and radius. Which sphere, if either, has the higher rotational kinetic energy? (a) The hollow I sphere, (b) The solid sphere, (c) They have the same kinetic energy.
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
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A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73
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