Chapter 16, Problem 90P

The telephone-cable reel is rolled down the incline by the cable leading from the upper drum and wrapped around the inner hub of the reel. If the upper drum is turned at the constant rate w₁ = 2.8 rad/s, calculate the time required for the center of the reel to move 85 ft along the incline. No slipping occurs. 40" Answer: t = sec 12" 16" 001

Due to the rotation of the screw E, the actuator provides a linear movement to the arm F when the motor turns the pinion A. The gears have the radii shown in the figure, and the screw E has a pitch p = 1.6 mm. Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 until it reaches an angular speed of w = 59 rad/s which is then held constant Poradio men D B TA 10 mm TB = 50 mm rc = 15 mm TD = 60 mm F Note: The screw pitch indicates the distance the arm advances per revolution. Determine: a) The time it takes for pinion A to reach its maximum angular velocity b) The maximum speed of the arm F in mm/s c) The number of revolutions of the screw while accelerating d) The displacement of the arm F (in mm) when 10 seconds have elapsed

1- The bucket is hoisted by the rope that warps around a drum wheel. If the angular displacement of the wheel is 9 =(3t2-7t) rad, where t is in seconds, determine the velocity and acceleration of the bucket when t= 5 sec