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

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

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