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1. Imagine a figure with two blocks connected by a cord (of negligible mass) tha

ID: 1541237 • Letter: 1

Question

1. Imagine a figure with two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.90 kg; block 2 has mass m2 = 3.60 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?

2. Suppose the coefficient of static friction between the road and the tires on a car is 0.548 and the car has no negative lift. What speed will put the car on the verge of sliding as it rounds a level curve of 29.8 m radius?

Explanation / Answer

1) m2a = m2g-T

T = m2g-m2a

m1a = T-m1g

m1a = m2g-m2a-m1g

a = g(m2-m1)/(m1+m2)

a = 9.8(1.7)/5.5 = 3.03 m/s^2

T = m2(g-a) = 24.37 N

2) mv^2/r = mue*mg

v = sqrt(mue*rg)

v = 12.65 m/s