MECH&AE 102
Dynamics of Particles and Rigid Bodies
Winter 2023
Homework #8
Due at 11:59 pm on Friday, March 17, 2023
Problem 1. The uniform slender bar AB has a mass of 8 kg and swings in a vertical plane about the pivot
at A. If ! D 2 rad/s when ✓ D 30ı , compute the force supported by the pin at A at that instant.
Problem 2. The uniform 12-ft pole is hinged to the truck bed and released from the vertical position as the
truck starts from rest with an acceleration of 3 ft/s2 . If the acceleration remains constant during the motion
of the pole, calculate the angular velocity ! of the pole as it reaches the horizontal position.
Problem 3. The T-shaped body of total mass m is constructed of uniform rod. If it is released from rest
while in the position shown, determine the vertical force reaction at O as it passes the vertical position (120ı
after release).
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MECH&AE 102
Dynamics of Particles and Rigid Bodies
Winter 2023
Problem 4. The 20-kg wheel has an eccentric mass that places the center of mass G a distance rN D 60 mm
away from the geometric center O. A constant couple M D 6 Nm is applied to the initially stationary
wheel, which rolls without slipping along the horizontal surface and enters the curve of radius R D 600 mm.
Determine the normal force under the wheel just before it exits the curve at C . The wheel has a rolling radius
r D 100 mm and a mass moment of inertia IO D 0:0056m m2 kg.
Problem 5. The constant 9-lbf force is applied to the 80-lbm stepped cylinder as shown. The mass moment
of inertia is IN D 64m in2 lbm. The stepped cylinder rolls on the incline without slipping. If the cylinder is
at rest when the force is first applied, determine its angular velocity ! eight seconds later.
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