Q1:

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 61.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road. In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r = 0.354 m), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of 8 above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when 6 = 74.0 ? A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r = 28.6 m, how fast is the roller coaster traveling at the bottom of the dip? Number a Units 1} A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 32.5 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 119 m}, the block swings toward the outside of the curve. Then the string makes an angle Bwith the vertical. Find 9. 9 To center of curve l 4-