A single bead can slide with negligible friction on a wire that is bent into a circle of radius 13.6cm, as seen in the figure below. The circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of 0.436s. The position of the bead is described by the angle that the radial line from the center of the loop t the bead makes with the vertical. At what angle up from the lowest point can the bead stay motionless relative to the rotating circular wire?

Link 2 is isolated from a kinematic diagram and shown in the figure below. The link is rotating counterclockwise at a rate of 263 rpm. Determine the velocity of points A and B. Use y = 53° and ẞ= 72° A 8" γ B B 18" Enter the angular velocity, rounded to two decimal places, in rad/s. Answer: Check Enter the speed of point A, rounded to the nearest unit, in in/s. Answer: your answer must be a positive acute angle Check

In the figure below, a solid brass ball of mass m will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular motion has radius R, and the ball has radius r << R. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? 27R 10 h = (b) If the ball is released at height = 6R, what is the magnitude of the horizontal force component acting on the ball at point Q? 50mg 7 F =

The lift force on an airplane of mass 897 kg  with speed v is given by c v2 (N), where c is some constant depending on the air density and wing geometry.  The lift force points perpendicular to the wings of the plane, so that if the plane banks by, say 10 degrees, then the lift force turns 10 degrees from the vertical.  Now suppose that the pilot of this plane wishes to complete a flat turn of radius 931 m with speed 104 m/s.  How much should they bank the plane, in degrees? (Please answer to the fourth decimal place - i.e 14.3225)