Problem 5: a popular carnival attraction has riders lie on angled cushions while the apparatus spins about the vertical axis like a centrifuge. the 150 lb man lies against the cushion for which the coefficient of static friction is μs = 0.4. if he rotates about the z-axis and lies at an angle of 60° with the horizontal, determine the minimum speed he must spin to avoid sliding off the bottom of the cushion and the maximum speed he must spin to avoid slipping up the top. determine the magnitude of the friction force when the man spins at the average velocity between the minimum and maximum

The chart shows the costs and shipping times for materials that a company needs to build a new product. which describes the best trade-off if the company needs to start building their product within the next two years? they should order the domestic materials because it is always best to choose the fastest shipping time. they should order the imported materials because it is always best to choose the lowest cost for materials. since the shipping time is longer, they should order the domestic materials because the additional cost is worth it to get the materials in time. even though the shipping time is longer, they should order the imported materials because they are less expensive and should arrive in plenty of time to build the product.