The 32-kg spool of outer radius ro 420 mm has a centroidal radius of gyration k 265 mm and a central shaft of243 N is applied to the end of a cableradius ri 155 mm. The spool is at rest on the incline when a tension Twhich is wrapped securely around the central shaft as shown. Determine the acceleration a of the spool center Gand the friction force Facting at the interface of the spool and incline. The friction coefficients there are H0.28 and Hk 0.19. The tension T is applied parallel to the incline and the angle 0 19 The acceleration a and theforce F are both positive if up the incline, negative if down.m, ETTAAnswers:m/s2a =iFZ

Draw the free body diagram of the spool as:

Answered: The 32-kg spool of outer radius ro 420…

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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A box with mass m is on a frictionless inclined ramp, as shown. The ramp has an angle of θ with respect to the horizontal. The ramp is firmly attached to the inside of a car. The car is traveling to the right, and is slowing down. The car has a constant acceleration with magnitude a. You observe that the box doesn’t slide up or down the ramp. What is the angle of the ramp? Write your answer in variables, using only m, g, and a. This problem should be solved using the “recipe” taught in class. Focus Draw a free body diagram Identify the direction of the acceleration Write Newton's 2nd law (F=ma) Solve for unknowns Suppose that the driver now presses harder on the brakes. Would the box slide up the ramp, or slide down the ramp? Or would it not slide at all? No calculation required, but very briefly (one or two sentences) justify your answer. Draw a simple diagram if it helps!
Wheels A and B are uniform 16.1-lb cylinders with frictionless axles as shown. A 32.2-lb box C with a center of mass at G is supported on the axles. Calculate the acceleration of the box if the wheels roll without slipping.
The 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u: = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part B Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. HA ac = Value Units Submit Request Answer Part C Figure Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. 0.4 m В HA 0.6 m T = Value Units M = 450 N-m Submit Request Answer
Each arm of aporter govern or is 250 mm long The uppe r and ower arms are pivoted at 40mm and 50 mm respectively from axis of rota tion Each ball has mas s Df 5 kg and the sleeve mass is 50kg The friction force on the sleve is 40 N. Determine the range of the speed of governor for extreme radii of rota tion of 125 mm and 150 mm
All arms of porter governor are 18 cm long and hanged at a distance of 4 cm to axis of rotation. The mass of ball 2 kg, and the mass of sleeve 30 kg. Determine minimum radius of rotation and the friction force at the minimum speed of governor 5 r.p.s. when the upper arms are at an angle of 30°with vertical and the lower arms are at an angle of 25°with vertical.
First Burglars in the system of figures started to move, each 22.7 kg mass which, 45 N luke T force under the effect of R = 324 mm diameter at t second 169 cycles / minute health reaches an angular velocity. Since the radius of the pulley is r=135 mm , find t ignoring the friction and all masses except the four masses . Response:
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The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force FFF acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.
The shown body is composed of a disk with mass 10 kg and a slender bar with mass 5kg which is released from rest form the 4m Im horizontal condition (it is released when 0 = 0). calculate the angular velocity and angular acceleration and the forces at the hinge point (Point O) when 0 = 60 deg. Length of bar is 4m and the radius of disk is Im.
4. A slender, rigid bar of mass m and length I is pinned to a massless collar as shown in the figure below. The collar and bar are initially stationary and slide on a frictionless rod. A force F is applied to the collar in the horizontal direction. Determine the acceleration of the collar at the instant that this force is applied. P Fight
Part A The 21-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 u = 0.2. Neglect the mass of paper that is removed. (Figure 1) Determine the magnitude of the constant vertical force F that must be applied to the roll to pull off 1 m of paper in t = 3 s starting from rest. Express your answer to three significant figures and include the appropriate units. TH HẢ ? F = Value Units Submit Request Answer Provide Feedback Figure < 1 of 1 300 mm 125 mm

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