Final answer:
To find the maximum shearing stress, calculate the torque and divide it by the cross-sectional area of the solid cylinder. To determine the percent of the torque carried by the inner core, calculate the torque carried by the inner core and divide it by the total torque.
Step-by-step explanation:
To determine the maximum shearing stress, we need to consider the maximum torque applied to the solid cylinder. The torque is given by the formula: t = rF sin(theta), where t is the torque, r is the radius, F is the applied force, and theta is the angle between the force and the radius. In this case, the torque is 1.75 kN·m. To find the maximum shearing stress, we need to calculate the maximum shear force and divide it by the cross-sectional area. The maximum shear force is equal to the torque divided by the radius of the cylinder. The cross-sectional area is given by the formula: A = pi * r^2, where A is the cross-sectional area and r is the radius. Putting it all together, we can find the maximum shearing stress.
To determine the percent of the torque carried by the inner 25-mm-diameter core, we need to calculate the torque carried by the inner core and divide it by the total torque. The torque carried by the inner core can be found by multiplying the torque by the ratio of the cross-sectional area of the inner core to the total cross-sectional area. The cross-sectional area of the inner core is given by the formula: A = pi * r^2, where A is the cross-sectional area and r is the radius of the inner core. The total torque is given in the question. Putting it all together, we can find the percent of the torque carried by the inner core.