The flywheel in Figure Q18 consists of two plates of mass m = 64 kg and thickness w = 0.050 m which are connected by arms of length 1 = 0.48 m into a rotating axis. An increasing moment M (N-m) is applied about the axis according to the expression M = 5t where t (s) is the time. Determine the time duration needed to accelerate the flywheel such that the plates reach a tangential velocity 20.0 m-s1, if their initial velocity at time zero is 10 m-s-1. Provide only the numerical value (in seconds) to two decimal places (e.g. 10.25) and do not include the units in the answer box. m W 1 M -A· 1 m W

A rod assembly rotates around the z-axis. The mass C is 10 kg and its initial velocity is 7 m/s. A moment and force both acts as shown in the figure where M = 8t2+5  N.m and F = 60 N. Find the velocity of mass C after 2 seconds.

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h L/2 L/4 MR Ms A horizontal rod of length L and mass MR = 2.6 kg is used to hang a sign on a wall. The right end of the rod is attached to the wall by a hinge. A wire having tension T runs from the center of the rod to a place on the wall a distance h above the hinge as shown. The wire makes an angle 0 = 25° with the rod. The sign has mass Ms = 0.867 kg and hangs distance L/4 from the end of the rod. The system is in equilibrium. What is the tension T in the wire that runs between the wall and the rod? T = 60.35 N %3! T = 42.22 N %3D T = 14.08 N O T = 90.54 N T = 30.19 N %3! What is Fy, the vertical component of the force that the hinge exerts on the right end of the rod? A positive answer indicates an upward force and a negative answer indicates a downward force. Hint: Balance torques about an axis through the center of the rod. O Fy = -4.25 N Fy = 4.25 N Fy = -8.51 N Fy = -6.38 N Fy = 8.51 N

A 40-kg disk shown is pin supported at its center. It starts from the rest and rotates to attain an angular velocity of 2 rad/s. The disk is acted upon by a constant couple moment M = 10 N.m clockwise. The spring is originally unstretched and its cord wraps around the rim of the disk. 0.2m ww Ol = a) (10 points) Find the kinetic energy of the disk. b) (30 points) Determine the angle through which the disk rotates