A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a =5 . shows the examples of idenutyıng the radius of gyration using student ID. (c) Appendix A (i) Determine the angular acceleration of the spool. (ii) Determine the pulling force P. (ii) Explain with calculation on ways to increase the acceleration of cable being pulled.

A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a =5 . shows the examples of idenutyıng the radius of gyration using student ID. (c) Appendix A (i) Determine the angular acceleration of the spool. (ii) Determine the pulling force P. (ii) Explain with calculation on ways to increase the acceleration of cable being pulled.

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 spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a = 8. Appendix A shows the examples of identifying the radius of gyration using student ID. Determine the pulling force P.
(c) A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a =8 Explain with calculation on ways to increase the acceleration of cable being pulled
A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.
A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I = 1/2 mr2. 1) Consider a scenario in which the flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m2 = 11 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 2) Return now to the flywheel of part (a), with mass m1, radius r1, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed vcar. Enter an expression for the mass of the car, in terms of the quantities defined here.
A particle M1, weighing 2.4 Ibs, is tied to a thread and describes a circular path in a horizontal plane. The thread, of negligible mass, passes through a hole in the center of the circle and descends vertically. Another particle M2 is attached, weighing 5.0 Ibs, as shown in the figure. If M1 describes a uniform circular motion, with angular velocity w 3.1 rad/s, determine the radius R of the circumference in inches.
In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction μk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 303.887 N at an angle θ = 35.38° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? what is the velocity of collar ? after 3 seconds? Also, at this instant, find the tension in the cord and the velocity of block A.
The double pulley shown in the figure has a mass of 3 kg and a radius of 100 mm rotation. Knowing that when the pulley is at rest, it is applied to the cable in B, a force P of magnitude equal to 24N, determine the speed of the center of the pulley after 1.5 s and the tensile force on cable C.
The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The slender rod is initially at rest until a 1.000-kg block C, strikes it at its end at point B.The block slides on a frictionless surface with a velocity of 3.50 m/s to the right. After the impact, it slides with a velocity of 1.250 m/s to the right, and the bar rotates with an angular velocity, ω'. 1. What gives the correct kinematic relationship relating the final velocity of the center of the rod, v' , and its angular velocity, ω'? 2. What is the coefficient of restitution, e, between the block and the slender rod? 3. What is the magnitude of the horizontal impulse at the support at point A?
Two identical giant flywheels are on 2 identical slopes at an angle alpha = 20 deg. One flywheel is rolling on its inside shaft of diameter d1 = 3 ft, and the second flywheel is rolling without slipping on its outside diameter d2 = 5 ft. They are both released from rest. The weight of the flywheel is W = 8 lbs 1. Knowing that flywheel 1 attains a speed of v = 7.0 ft/s in t = [t] s, (if t doesn't show take any t between 5 and 10 sec) find the radius of gyration of the flywheels, following those steps: 3. What will be the distance between the 2 flywheels? Which one is in front? a. Explain your strategy to find the distance made by each wheel. b. Find the 3 distances made by each wheel. c. Find the distance between the 2 flywheels. d. Why one is in front? 4. Using flywheel 2, what is the coefficient of static friction between the outside diameter and the ground required to prevent slipping? a. Using the 3 previous diagrams, which impulse will you consider finding the force of…
A 256-lb block is released from rest when the spring is unstretched. The drum has a weight of 76 lb and a radius of gyration of kO = 0.9 ft about its center of mass O. The coefficient of stiffness of the spring is k=78 lb/ft. The radius of the drum are: rin=0.485ft and rout=0.82ft. Find the velocity of the block after it has descended d=4 feet.
Two identical giant flywheels are on 2 identical slopes at an angle alpha = 20 deg. One flywheel is rolling on its inside shaft of diameter d1 = 3 ft, and the second flywheel is rolling without slipping on its outside diameter d2 = 5 ft. They are both released from rest. The weight of the flywheel is W = 8 lbs Knowing that flywheel 1 attains a speed of v = 7.0 ft/s in t = [t] s, (if t doesn't show take any t between 5 and 10 sec) find the radius of gyration of the flywheels, following those steps: b. Find omega final c. Find the angular impulse at the point of contact between the shaft and the slope. d. Write the formula to find the final momentum. e. Solve for k, using the principle of angular impulse and momentum
The follower is attached to the end of a light telescopic rod that is pivoted at O. The follower is pressed against a frictionless spiral surface by a spring of stiffness and the free length . The equation of spiral, which lies in the horizontal plane, is , where and in radians. Immediately after the rod is released from rest in position OA, determine (a) the angular acceleration of the rod; and (b) the contact force between the follower and the spiral surface.