18-3. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached to the wheel’s center has a stiffness k = 2 N m/rad, so that the torque on the center of the wheel is M O is in radians, determine the maximum angular velocity of %3D (20) N• m, where the wheel if it is rotated two revolutions and then released from rest. 0.5 m Probs. 18-2/3

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A ring of mass m is attached to the spring and slides over the rod. Unextended length of the spring 10 and the spring coefficient is k. When the collar is at point C, it is released and between the collar and bar Since the coefficient of friction is uk a)Find the velocity of the ring at points A and B using the Work-Energy method. b)Find the normal forces acting on the collar at points A and B. la k =18N / m, 1, = 200mn, m=3.5kg, a=200mm, b=220mm, µ =0.04

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Find: 1.) R in lbf 2.) Unit vector of R

(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the load then connecting in series with nth number of another rotating loads. The series loads have moment of inertias J1, J2, ... , Jn, respectively and each of them are joint through gear system with gear teeth ratios of a,, a2, .. , an. If kinetic energy of moving part is given by Jo 2 (i) show that the total moment of inertia of the drive system referred to the motor shaft can be expressed by J=J, +a, J, +a,'J, + .a, J, (ii) Sketch a block diagram to describe the above drive system.

Find the value of heat, efficiency rate, work in 68 spin and power in 0.87 seconds if an engine releases 3760 J of energy per spin and 547 J of work. Find the value of internal energy of each of the ff. given: 1. 200J of work is done on the system and 100 J of heat energy is absorbed by the system. 2.127 J of work is done by the system and 357 J of heat energy is absorbed by the surroundings. 3. A 675 J of energy is absorbed by the surroundings ang 146 J of work is done on the system.

In the figure below Atwood’s machine is drawn - two masses  and  hanging over a massive pulley of rotational inertia  and radius , connected by a massless unstretchable string. The string rolls on the pulley without slipping.a) Find the acceleration of the system and the tensions in the string on both sides of the pulley in terms of in terms of given variables.b) Why are the rope tensions on two sides of the pulley not the same? Explain it physically.c) Suppose mass    and the system is released from rest with the masses at equal heights. When mass  has descended a distance , find the velocity of each mass and the angular velocity of the pulley.[4***] A string is rolled around a cylinder(   kg) as shown in figure. A person pulls on the string, causing the cylinder to roll without slipping along the floor