The hoop (thin ring) has a mass of 5 kg and is released down the inclined plane such that it has a backspin and its center has a velocity as shown. If the coefficient of kinetic friction between the hoop and the plane is ur = 0.6, determine how long the hoop rolls before it stops slipping Hint when no slippong (v-rw) w = 8 rad/s G 'G =3 m/s 0,5 m 30°

The hoop (thin ring) has a mass of 5 kg and is released down the inclined plane such that it has a backspin and its center has a velocity as shown. If the coefficient of kinetic friction between the hoop and the plane is ur = 0.6, determine how long the hoop rolls before it stops slipping Hint when no slippong (v-rw) w = 8 rad/s G 'G =3 m/s 0,5 m 30°

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

The smooth hollow tube assembly rotates about a vertical axis with angular velocity @ = 0 = 4.9 rad/s and = Ö = −1.9 rad/s². A small 0.18-kg slider P moves inside the horizontal tube portion under the control of the string which passes out the bottom of the assembly. If r = 0.5 m, r = -1.8 m/s, and i̇ = 4.7 m/s², determine the tension T in the string and the horizontal force Fe exerted on the slider by the tube. Tis positive in tension, and Fe is positive if in the positive direction. T N N Answers: T= Fe i i
The mass of the flat belt is 0.6kg/m and the tension on the tight side of the belt is 1.7kN the coefficient of friction between the belt and the pulley is 0.2 and the angular speed N of the belt is 400rpm.Angle of lap fita and the diameter D of the pulley 150°and 50cm respectively.with the addition of centrifugal tension Design the belt drive by determine velocity belt centrifugal tension tension on the slack side of the belt power transmitted at this speed in kilowatts maximum power delivered
F= S00 N -s0 N/m A spring of stiffness (K = 500 N/m) is placed against the 25 kg block. If the block is subjected to the force of F = 500 N. wwww Also, the friction coefficient between the block and surface is (0.3). 9) When s = 0, the block is at rest and the spring is uncompressed. What is the velocity at s = 0.5 m? a) 4.19 m/s b) 8.26 m/s c) 2.82 m/s d) 9.18 m/s e) 3.51 m/s f) 3.94 m/s g) None of them
The handcart has a mass of 215 kg and center of mass at G. A force P=1075 N that is applied to the handle to push the handcart along a rough horizontal surface (u-0.2). Neglect the mass of the wheels. tan(0)=4/3 0.5 m 0.2 m -0.3 m--0.2 m-- 0.4 m The handle cart acceleration (m/s) O a. 0.432 b. 0.24 O C.0.336 O d. 0.384 O e. 0.192
A small object A is held against the vertical side of the rotating cylinderical container of raidus r due to entrifugal action the coefficient of astatic friction between the object and the container is , determine the expression for the maximum rotational rate co of the container which will keep the object from slipping out the vertical side. Fanpas (Fry: Mos FMS.N Fn-man +N=mrw +N=mYw² {fy.g +4₁ (norw')= ndg
As shown in the figure, forces are applied to the box that has a mass of 75 kg. Given that the coefficient of kinetic friction between the box and surface is uk = 0.297. If the box is originally at rest and currently moving with a speed of v = 5 m/s: 450 N 200 N 35° 50° 1. Draw the free body diagram and find the normal and friction force of the box. 2. Find its initial and final kinetic energy. 3. Determine the distance that the box has travelled by using the principle of work and energy 4. Calculate each work that is done to the box
The 6-kg bar is released from rest while in the position shown and its end rollers travel in the vertical-plane slot shown. If the speed of roller A is 3.42 m/s as it passes point C, determine the work done by friction on the system over this portion of the motion. The bar has a length /=775 mm. %3D Assume 0 = 24°. C (B Answer: Ufriction i N-m
The collar has a mass of 28-kg and slides along the smooth rod. Two springs are attached to it and the ends of the rod as shown. S kA kB: 12 0.25 m Each spring has an uncompressed length of I1=2-m and l2=3-m and stiffnesses k1=51-N/m and k2=176-N/m respectively. Determine the velocity that must be subjected to the collar to generate a compression of 0.7 m
If there is no friction between shaft AB and the collar, what angular velocity Ö must the mechanism have to keep the collar at r= 660 mm from the vertical axis? Consider the same mechanism again, with m = 3.3 kg, d = 275 mm, k = 180 N/m, only now, instead of being smooth, the collar and shaft have a maximumcoefficient of friction of 0.74. What is the minimum angular velocity required to keep the collar at a constant distance r= 660 mm from the axis of rotation?
The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity-w-3.2 rad/s. Determine the force T in the rod when 9 - 36°. The force T is positive if in tension, negative if in compression. Part 1 Answers: ■ de L Your answer is partially correct. Calculate the r- and 8-components of acceleration. 0 ar= i 13.005 0 m m m/s² m/s²
The block of mass m=1.4 kg slides along the horizontal rough plane shown in the figure. The position coordinate x is measured from the underformed position of the ideal spring, which has stiffness of K-30N/m. At x=0 the block is. initially moving to the right with V1= 6m/s. Determine the friction force F. X K A Us 0.30; μ-0.20 -X27
The spring-mounted 0.97-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate 0 = 5.8 rad/s. At a certain instant, r is increasing at the rate of 910 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.68, calculate the friction force F exerted by the rod on the collar at this instant. Vertical Com Answer: Fi N