The 22-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is 4 = 0.2 and a vertical force F = 28 N is applied to the end of the paper. (Fjgure 1) Part A Determine the angular acceleration of the roll as the paper unrolls. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. Vol AEo vec a = rad/s? Submit Request Answer igure < 1 of 1> Provide Feedback Next> 300 mm 125 mm
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- A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 50.8 kg. A person pushes on the outer edge of one pane with a force of F = 87.8 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m F 1.2 mP Problem 5: A rigid ring of r = 3.40 m is started in rotational counterclockwise motion at t = 0 with constant angular acceleration α = 1.90 rad/s² about a fixed axis through its center. (a) Calculate the magnitude and direction (relative to the x-axis shown) of a at point Pat t = 0, and draw a sketch of the vector on the figure below. YA X P'As a torque activity, your Physics TA sets up the arrangement shown below. m2 A uniform rod of mass m, = 153 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r, = 10.0 cm and r, = 90.0 cm mark, passed over pulleys, and masses of m, = 226 g and m2 = 127 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 m Fp %3D OF (b) Let's now remove the mass m3 and determine the new mass ma you would…
- A uniform thin rod of mass m = 3.2 kg and length L = 1.5 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 2.5 N, F3 = 15 N and F4 = 15 N. F2 acts a distance d = 0.14 m from the center of mass. a. Calculate the magnitude τ1 of the torque due to force F1, in newton meters. b. Calculate the magnitude τ2 of the torque due to force F2 in newton meters. c. Calculate the magnitude τ3 of the torque due to force F3 in newton meters. d. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. e. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.NEXT Chapter 10, Problem 066 GO A uniform spherical shell of mass M = 12.0 kg and radius R = 0.710 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.0980 kg-m2 and radius r = 0.140 m, and is attached to a small object of massm = 4.80 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 1.00 m after being released from rest? Use energy considerations. M, R Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show WorkIP A popular ride at amusement parks is illustrated in the figure ( Eigure 1). In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 35 mi/h. Figure 12 m 1 of 1 T Part A Find the centripetal acceleration of the riders. Express your answer using two significant figures. G| ΑΣΦ 5 Submit Part B Request Answer Find the angle the supporting wires make with the vertical. Express your answer using two significant figures. 195] ΑΣΦΑ Submit Request Answer ?
- Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can of soda has a mass of 0.405 kg and goes rolling across the floor with a speed of 1.3 m/s. If the can is modeled as a solid cylinder with a diameter of 6.6 cm, what is the total kinetic energy of the can as it rolls without slipping? |Axis Thin hoop, radius R Through center MR? JAxis Thin hoop, radius R width w Through central diameter MR? + Mw? |Axis Solid cylinder, radius Ř Through R center |Axis Hollow cylinder, inner radius R, outer radius R, Through R center JAxis Uniform sphere, radius R Through center MR? Axis Long uniform rod, length e Through center Me Axis Through Long uniform rod, length e Me endA. x x 4e a ñ I8 Paragraph Styles Dictate In a downtown office building, you notice each of the four sections of a rotating door has a mass of 85 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.440 rad/s2? 02 | - 三山告At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 12.5 s to uniformly accelerate to its final angular speed ω2 = 750 rad/s. a. Calculate the angular acceleration of the centrifuge a1 in rad/s2 over the time interval t b. Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the intial to the final speed.
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