A 150N force pushes three blocks up a frictionless 45 degree inclined plane. Fin

Question

A 150N force pushes three blocks up a frictionless 45 degree inclined plane. Find the acceleration and the contact forces F_1 and F_2 between the blocks. Find the tension in the rope and the acceleration of the masses if the pulley is massless and frictionless. A bicyclist is speeding up as he travels along a road sloping downward at an angle of 20 degree. The combined mass of the bicycle and the rider is 75 kg. The acceleration downward is 1 m/s^2. Friction and air resistance combined oppose the motion of the bicycle. Draw a free body diagram of the bicycle and rider. Find the force opposing the motion, which is composed of friction and air resistance.

Explanation / Answer

here,

6)

force , F = 150 N

the accelration of the system , a = net force /(effective mass
)

a = (F - ( 8 + 4 + 2) * 9.81 * sin(45) ) /( 8 + 4 + 2)

a = (150 - ( 8 + 4 + 2) * 9.81 * sin(45) ) /( 8 + 4 + 2)

a = 0.9 m/s^2

for 2 kg mass

let the contact force be f1

F - f1 - 2 * g = 2 * a

150 - f1 - 2 * 9.81 = 2 * 0.9

f1 = 128.58 N

for 4 kg mass

let the contact force be f2

f1 - f2 - 4 * g = 4 * a

128.58 - f2 - 4 * 9.81 = 4 * 0.9

f2 = 85.74 N

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