58✓11✓Q4. As shown in the image below, a 112-kg crate starts sliding down the inclinedplane from rest. The coefficient of kinetic friction between the crate and the inclinedplane is = 0.22. Take g = 9.81 m/s².k = 2 kN/m10 m45°(1) Apply the principle of work and energy to determine the speed (in the unit of m/s)of the crate when it has slid down 10 m, just before it reaches the spring. Youranswer must include 2 places after the decimal point.

Answered: Image /qna-images/answer/0346544c-578d-489b-ad7b-7ef894661d9f.jpg

5 8 ✓ 11 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 = 9.81 m/s². k = 2 kN/m- A 10 m 45° (1) Apply the principle of work and energy to determine the speed (in the unit of m/s) of the crate when it has slid down 10 m, just before it reaches the spring. Your answer must include 2 places after the decimal point.

5 8 ✓ 11 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 = 9.81 m/s². k = 2 kN/m- A 10 m 45° (1) Apply the principle of work and energy to determine the speed (in the unit of m/s) of the crate when it has slid down 10 m, just before it reaches the spring. Your answer must include 2 places after the decimal point.

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

See similar textbooks

Similar questions

A block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is 9.81 m/s2. The coefficient of static friction between the floor and the block is 0.2. A horizontal force of 10 N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is 10 N 10 kg
k k F Two masses, m¡ and m2 are attached in series by two springs. A force, F is applied to the second mass. Each spring has spring constant, k. The position of each mass is described by x1 and x2, where Fspring 1 = -kx1 and Fspring 2 = -k(x2 – x1) 1. write out the kinetic and potential energy in terms of x1 and x2 2. Use the Lagrange equations to write out two coupled ordinary differential equations here, the force F does virtual work, F8x2
A spring is used to stop a 32 kg metal sphere which is moving down a 30° incline, as shown in Figure Q2(a). The spring has a constant k = 33 kN/m and initially compressed 50 mm. Given that the velocity of the metal sphere is 5.5 m/s when it is 5 m from the spring and the friction can be neglected. (Gravity g = 9.81 m/s?) Q2. (a) Determine all the kinetic and potential energy components at the initial (i) and final position of the metal sphere. (Let the x be the additional compression of the spring). (ii) Calculate the maximum additional deformation of the spring requires to bring the metal sphere to rest. (iii) Determine after the metal sphere come into rest will it rebound upwards the slope or not? if can how much it will move up again the slope until it temporary at reset otherwise stated the reason why the metal sphere would stay at rest. 5.5m/s m=32kg 5m 30 Figure Q2(a)
7. Two carts with masses of 4.0 kg and 3.3 kg move toward each other on a frictionless track with speeds of 5.9 m/s and 4.6 m/s, respectively. The carts stick together after colliding head-on. Find their final speed.
d2 d₁ A Ad₁ VA = A small cylinder with a weight of 10 lb is dropped from an initial height of d₂: 3 ft from rest. The spring has an unstretched length of lo = 12 inches and a spring constant of k = 30 lb\inch. The spring is intially compressed by small ropes to a length d₁ = 6 inches. = k What is the maximum additional distance the spring compresses after the cylinder lands on the platform? Assume the platform and spring are massless in this calculation. inches
Q5.) Wedge B is positioned above wedge A as shown. Each wedge has a mass of 12 kg. A linear elastic spring attached to wedge A has a spring constant of 3 kN/m and is currently compressed 0.06 meters from its unstretched length. The coefficient of static friction between the two wedges is 0.5 and the coefficient of static friction between wedge A and the ground is 0.35. A force of P is applied to the corner of wedge B at an angle 30°. Determine the minimum applied force that would cause motion to occur and specify how the system will move. k = 3 kN/m A B 20⁰ 30°
1.8. Point A moves with a constant velocity vo. It is connected to a particle of mass m by a linear damper whose tensile force is F = c(vo – x). (a) Assuming the initial conditions x(0) = 0, i(0) = 0, solve for the particle velocity i as a function of time. (b) Find the work W done on the system by the force F acting on A. (c) Show that the work W approaches twice the value of the kinetic energy T as time t approaches infinity. Problems y=vot Figure P 1.8.
2. A 20 kg box sitting on a horizontal surface is pulled by a horizontal force of 64 N. The coefficient of kinetic friction between the box and the surface is 0.2. (Draw free-body diagram here) vsebn lognA en MOIT ANIMAX MATUM70038 blow 10 ode no tos 2010 Owl I 02 sa 0£to shingem seer sosot toriso 21 to obutingam and count onOno gol a. What is the normal force acting on the box?ib et bas 1910 marsib vbod-seil wai(1) b. What is the force of kinetic friction acting on the box? od no oond ton silt ei tad s c. What is the acceleration of the box? rss sdr to noitestsson sdt at tod in
4. The system shown at right consists of a frictionless pulley and a rope supporting two masses. Use work and energy methods to determine velocity of each mass just before the 12 kg mass hits the floor. Use that velocity to determine acceleration and draw a FBD (with solved forces) of each pulley while they are in motion. 12 kg 1.5 m 8. kg