Question

1. Consider the following scenario: two masses connected by a string, strung over a frictionless pulley. 111111111111 a. What is the resulting acceleration? b. If the falling mass starts are rest 10m above the ground, with what velocity does it strike the ground? 2. Consider the following scenario: two masses connected by a string, one sliding on a incline plane. 158 a. If the coefficient of friction between the mass and the incline plane is 0.2, calculate the resulting acceleration. b. If the mass starts at rest at the top of the ramp, which is 20m long, how long will it take to slide down the ramp? 3. Consider the following scenario: two masses connected by a string, one sliding down an incline plane. If the coefficient of static friction between the two masses is identical with a value of 0.15, calculate the resulting acceleration. 100kg 25 Det 4. (Not to be done on Canvas! Consider this problem to be worked in class!) The last problem worked in class was uniform circular motion while driving around a curved road. We calculated the maximum speed that could be driven around the curve without sliding off Consider the same problem if the road is inclined (banked) by some angle.

Answer 1

LLLLLL LL LLLL TAAT m IKO Equation of motion of my is. me= 'mg- -0 Equation of motion of me is mga = T-mag - on adding 0 and @ (mi+maja (mi-mady hm-mg. a= mit me 7-3% 9.8 - 3.92 m/s 7+3 g: mitma Resulting accelesatibon, a - mi-me h= lom velocity when strike at ground is U=/2ah = 12x3.92x10 con = 8.85m/s. m2 = 14 nyar mono m = 250g ma=alg mig MK = 0.2 Equation of motion of my=25ig is 0 - 35° . m,a= migsino-T- Mimi glaso o Equation 4 motion of mo=974. a De Me: T-mag - on adding and we get acceleration as migliono- Macaro) - mang mitma mitme 25x9.8*C sin35 0.208354) - 9.9 X9.8 fl.com Ta = 0.36mis 25+9 Time T - 2x20 = 10.56 vec a) 95 6.