1. A roadway for stunt drivers is designed for racecars moving at a speed of 56
ID: 2241140 • Letter: 1
Question
1. A roadway for stunt drivers is designed for racecars moving at a speed of 56 m/s. A curved section of the roadway is a circular arc of 170 m radius. The roadway is banked so that a vehicle can go around the curve with the friction force from the road equal to zero. At what angle is the roadway banked?
2. Two blocks are connected by a string that goes over an ideal pulley as shown in the figure. Block
A roadway for stunt drivers is designed for racecars moving at a speed of 56 m/s. A curved section of the roadway is a circular arc of 170 m radius. The roadway is banked so that a vehicle can go around the curve with the friction force from the road equal to zero. At what angle is the roadway banked? Two blocks are connected by a string that goes over an ideal pulley as shown in the figure. Block A has a mass of 3.00 kg and can slide over a rough plane inclined 30.0 degree to the horizontal. The coefficient of kinetic friction between block A and the plane is 0.400. Block B has a mass of 2.77 kg. What is the acceleration of the blocks?Explanation / Answer
1) N*cos(theta) = mg
N*sin(theta) = mv^2/r
=> tan(thera) = v^2/gr
=> theta = atan((56*56)/(9.8*170)) = 62.02052561152 degrees
2) mB*g - T = mB*a
=> T = mB(g-a)
T - mA*g*sin(30) - mA*g*cos(30)*u = mA*a
=> mB(g-a) - mA*g*sin(30) - mA*g*cos(30)*u = mA*a
=> 2.77*(9.8 - a) - 3*9.8*sin(30) - 2.77*9.8*cos(30)*0.4 = 2.77*a
=> a = 0.382 m/sec^2
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