When Crates A and B of mass ma = 40 kg and mB = 72 kg are released from rest, Crate A moves to the righton a rough surface (ukhas a stiffness ofk = 430 N and is initially stretched 0.4 meters before the system is released from rest.= 0.4). The force P = 17 Newtons is always acting on Crate B. The linear springтNeglect the mass of the pulleys and cables and neglect friction in the pulley bearings. Determine themagnitude of the velocity of Crate A (in ") when Crate A has moved a distance of 0.6 meters to theright. Consider g = 10 m82 *kwwwP

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Answered: When Crates A and B of mass mA = 40 kg…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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F2 Problem 2. EOM Derivation Derive the equation of motion for the following system: F3 F4 Dry Friction= Fµ m Q Search DII % y(t) F5 ☀ F6 A F7 7 PrtScn F8 * M Home F9 B E
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➡ Listen Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is = 0.22. Take g = = k = 2 kN/m A 10 m 45° 9.81 m m/s². (1) Apply the principle of work and energy to determine the speed (in the unit of m/s)
Find the minimum weight of block A in order for motion to be impending down the plane (to the left). Assume the pulley to be frictionless. Given:WB = 180 lbs, θ = 40 °, μ = 0.2 for all surfaces.
4. A six-pound weight hanging from the end of a spring is pulled 10 centimeters below its resting position and released; it takes 0.9 seconds to complete a cycle. Determine an equation for the motion of the weight, assuming that it is 10 centimeters below its resting position and rising at t = 0. 16165 -- below t=0 t=0.9
A carnival ride has people stand inside a vertical cylinder with their backs to the wall. The cylinder starts spinning and the riders find that they are “stuck” to the wall and don’t slide down, even if the floor is removed. The ride has a radius of r. The person has a mass of m and is moving with a constant speed of v. The coefficient of static friction between the person and the wall is μs , and kinetic friction μk. The person is only touching the wall, not touching the floor. What is the magnitude of the acceleration of the person? In what direction does it point? The speed is constant. Why is the acceleration not zero? Briefly explain. No equations!
A box of mass m = 0.7 kg is attached to a rope which is wrapped around a physical pulley with a radius of R = 10.2 cm and a rotational inertia of I = 0.075 kg·m2. When the box is released it starts to fall down with a constant acceleration and, at the same time, the pulley starts to spin up, see the picture below. Assuming that the pulley is frictionless, what is the magnitude of the box's acceleration and what is the tension in the rope? The acceleration of the box, a ? The tension in the rope, T? If the box starts from rest and traveled downwards a distance of h = 28 cm, what is the speed of the box and what is the angular velocity of the pulley? The speed of the box, v =? The angular velocity of the pulley, ω? -------------------------------------------------------------- A Merry Go Round carousel has a radius of R = 2.4 m and a rotational inertia of I = 695 kg·m2. A 75‑kg student is on the carousel at the midpoint between the carousel's center and the rim (at R/2 distance from…
A uniform ladder with mass m₂ = 14kg and length L = 3.2m rests against a smooth wall. A do-it-yourself enthusiast of mass m₁ = 70kg stands on the ladder a distance d = 1.2m from the bottom (measured along the ladder.) There is no friction between the wall and the ladder, but there is a frictional force, with μ = 0.25, between the floor and the ladder. N₁ is the magnitude of the normal force exerted by the wall on the ladder, and N₂ is the magnitude of the normal force exerted by the ground on the ladder. What angle 8, will cause the static friction with the floor to be maximized? Will the ladder start to slip when the angle is made larger, or smaller than this borderline value? m₂ 20 f L mi 1) Draw a free body diagram for the ladder, choose a coordinate system and write out the equations for the sum of the x forces and the sum of the y forces. 2) Draw a diagram of the ladder with each force vector acting on it at its point of application. Chose an axis of rotation and place this on the…
Question 2 A rope of length L = 2.8 m and mass m = 2 kg is initially at rest and can slide on an inclined surface with incline = 20° as shown in the figure. Assume that the part of the rope that is not on the inclined surface hangs down vertically at all times and that the static friction coefficient between the rope and the surface is μ = 0.49. 0 b a) Calculate the maximum value of b for which the rope will not start sliding down the slope.
A system of a 50 kg empty trolley and a 140 kg counterweight is shown in Figure below. After the counterweight has dropped 10 m from rest, the velocity of the trolley is 6 m/s. If all frictional resistances can be regarded as a single force F acting on the trolley parallel to the inclined plane, calculate the resistance of the force. Note that pulleys are smooth and frictionless.
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