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A section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight portion BC. The radius of AB is 27 m and the radius of CD is 72 m. The car and its occupants, of total mass 250 kg, reach point Awith practically no velocity and then drop freely along the track. Determine the normal force exerted by the track on the car as the car reaches point B. Ignore air resistance and rolling resistance.
The 20.0 cm by 35.0 cm rectangular circuit shown in the figure (Figure 1) is hinged along side ab. It carries a clockwise 5.00 A current and is located in a uniform 1.20 T magnetic field oriented perpendicular to two of its sides, as shown.
a. Which force exerts a torque about the hinge ab? choices are (F ab, F bc, F cd, F da)
b. Calculate only the force that exert the torque mentioned in part (A)._____ N
c. Use your results from part (B) to calculate the torque that the magnetic field exerts on the circuit about the hinge axis ab.____ N *m
a torque of magnitude T =1000 Nm is applied at D as shown. Knowing that the allowable shearing stress is 60 MPa in each shaft, determine the required diameter of
a) shaft AB
b) Shaft CD