Q1.) Determine the center of mass of the homogeneous bent rod shown below. Z 6 ft 4.5 ft Q2.) Locate the centroid (x, y) of the shaded area. Q3.) Determine the centroid of the composite area shown below. ¥ Q4.) The machine element shown below is comprised of two pieces welded together. The low piece (parallel to the x-z plane) is made of material with a density of 10 slugs/ft’>. The upper pie (parallel to the y-z plane) is made of material with a density of 15 slugs/ft’. Determine the locatic of the machine element’s center of mass with respect to the given axes. Note: the x-z plane is « the top surface of the lower piece and the y-axis runs vertically along the back edge of the upp. piece. QS.) A three-wheeler is made up of four main components numbered 1 - 4 in the figure below. The weights and location of each respective center of gravity are given. Assume the three-wheeler is symmetric about the x — y plane having a single front wheel and two rear wheels. Note that 1. gives the weight for only a single rear wheel. a) Determine the overall weight of the three-wheeler and locate its center of gravity with respect to the given axes. b) If the three-wheeler is parked facing uphill on a 20° incline with brakes engaged on the rear wheels with front wheels are free to roll (ignore friction on front wheel), determine the reactions at the front wheel and each rear wheel. c¢) If the coefficients of static and kinetic friction between the tires and the inclined surface are is = 0.6 and py = 0.45, determine whether the three-wheeler will remain parked or slide down the incline. 1. Each rear wheel 101b y 2. Mechanical components 90 Ib 3. Frame 1251b 4. Front wheel 81lb
Apr 24, 2023

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