PHYS 170 Worksheet 13.2 Student ID Family Name 69548352 Berger-North 11592789 Fellows 99487431 Konkam Chikumbre 61700456 Mac Donald 36768257 Butcher First Name Kyle Kyle.berger-North@smas.ca Justin jyfellows@4@gmail.com Sarah jskanam 7@gmail.com Maka maka123456@gmail.com Email Eraham affoml@icloud.com. aven 1 F I 1. A 2 pound ball is moved in the horizontal plane by a slotted arm rotating with 0 = 4 rad/s and 0 = 8 rad/s . The distance of the ball from the pivot point of the arm is set by a curved slot to be r = Bcos0 with B = 1.00 feet. (This corresponds to a circle with a radius of 0.5 feet and an offset center). r = Bcos0 d = 4 rad/s ¢=8 rad/s2 may r 0.5 ft A. Draw a vector on the figure showing the force of the arm on the ball. N B. Draw a vector on the figure showing the force of the slot on the ball. C. Draw a line on the figure showing the tangent to the path of the ball. 0.5 ft D. Draw vectors on the figure for the polar components of acceleration (times mass) of the ball. E. Find the polar components of the acceleration of the ball when 0 = 30°. ma T r= Cos(@) r =- Sin(@) r =- cus(0) 9 = (r" - r) 82 +rö 90 = 10 +20r Gr= (-cosa-(050) 4+ (-sin R) 8) 90= cos(@)-8-2.42-5. Gr =- 3 1.71 5Q= - 4.072
F. Find the (positive) angle between the 0 direction and the tangent direction when 0 = 30°. (Note that the angle 0 in the figure is significantly less than 30°). tun (Q) = Q = tan Q= 30 G. Write the polar-coordinate equations of motion for the ball. Q :- Los(30) + F 2 ri-sin (30) = 32.2 - 32.2.50 2.gr H. Find the forces on the ball from the arm and the curved slot when 0 = 30°. N= 2.273 Lb F= 0.5736Lb