5. A boy is playing on a playground ride as shown below. The boy is holding onto a rope with a 20-mm diameter and tensile strength of 1.10 MPa. The platform of the ride spins about the vertical axis at a constant angular speed. Neglecting friction, determine the angular speed at which the rope will break. 1.0 m 735° 60 kg
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- One end of a meter stick is attached to a pivot point. A tangential force of 50.0-N magnitude is applied at the other end of the meter stick. An opposing tangential force is applied on the meter stick, 1.0 cm from the pivot point. Ignoring friction and weight of the meter stick, what should be the magnitude of the opposing tangential force for the system to be in equilibrium? a. 50.0 N b. 500.0 N c. 5,000.0 N d. 50,000.0 N2. A 150 slug box is situated 4.25 feet from the fulcrum of a horizontal plank, as shown in the figure. 1.25 feet on the left side of the fulcrum, two cables with identical physical properties are connected and attached to the ground, as they provide rotational equilibrium to the structure. Determine the forces acting on cables A and B, as the ground and the two cables form an equilateral triangle. M = 150 slugs d B A df dgWhat is the net torque on the square plate with sides 0.2 m from each of the three forces? F=18 N, F2=26 N, and F3=14 N. Use an axis of rotation perpendular to the square and through the center. The axis of rotation passes through the center and perpendicular to the square. F2 30° ion oxis 3.
- 1.0m 3.0m 0.5m mi m2 m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m = 40 kg (centered over P), m;=20 kg and m3=10 kg. b. Determine the magnitude of the torque exerted about point P by .. (don't forget to convert masses to forces.) i. mi ii. m2 ii. m3Help me please1. The wheel has radius R = 60 cm YA and is free to rotate without friction about a central axle. A force F = 15N is applied to the wheel as shown, at distance r = 20 cm. from the axle. O = 50° а. What is the magnitude of the torque corresponding to the force F, calculated about the axle? b. What is the direction of the torque vector? C. With the wheel starting from rest, this torque is applied constantly. After three revolutions, its final angular speed is wf = 8.0 s¬1. What was its angular acceleration a? d. What is the moment of inertia of the wheel? e. Assuming the wheel to be a uniform solid disk, what is its mass? f. Bonus (2 extra points): What is the final angular momentum of the wheel?
- A dental bracket exerts a horizontal force of 66.2 N on a tooth at point B in the figure. What is the torque on the root of the tooth about point A 0.599 Your response differs from the correct answer by more than 10%. Double check your calculations. N m counterclockwise Gum 48.0° FB 1.20 cmA grinding wheel 0.40 m in diameter rotates at 2500 rpm. mView?assignmentProblemID-178465338 Part A Calculate its angular velocity in rad/s. Express your answer using three significant figures. = ليا Submit Part B V= 15| ΑΣΦ Request Answer Submit What is the linear speed of a point on the edge of the grinding wheel? Express your answer to two significant figures and include the appropriate units. μA Value Request Answer Units Pearson ? ? rad/s Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | 0 Nov 21. Assume the Earth to be a sphere of uniform density. Calculate: a. its moment of inertia b. its rotational kinetic energy c. Suppose that these energy could be harnessed for our use. For how long could the Earth supply 1.0 kW of power to each of the 7.8 x 10° persons on Earth?
- 1) Choose the three "bridge" equations between translational quantities and rotational quantities from the list below. A. Δx = RΔθ B. vt = Rat C. at = Rα D. at = R/α E. ω = Rθ F. vt = Rω 2) Match the following angular velocity A.I, kg·m2 angular displacement B.Δθ angular acceleration C.½Iω2 moment of inertia D.α tangential velocity E.ΣΤ = Iα tangential acceleration F.Iω = mvR centripetal acceleration G.Rω arc length H.w rotational kinetic energy I.RΔθ angular momentum J.Rω2 Newton's 2nd Law of Rotation K.Rα 3) For a body to be in static equilibrium, what two equations must be solved together? A. mechanical energy = 0 and net force = 0 B. net torque = 0 and net work = 0 C. net force = 0 and net torque = 0 D. net work = 0 and net force = 0 4)From Newton's Law of Gravitation, the quantity…A square metal plate 0.180 m on each side is pivoted about an axis through point o at its center and perpendicular to the plate (Figure 1). For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Applying a torque. Figure F2 0.180 m 0.180 m 45° F3 F1 1 of 1The particle of mass m = 2.2 kg is attached to the light rigid rod of length L = 0.80 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity = ω = 3.9 rad/s. Determine the force T in the rod when θ = 33°. The force T is positive if in tension, negative if in compression. 1. Calculate the r- and θ-components of acceleration. 2. Determine the force T in the rod when θ = 33°