Question

Assume that the masses A and B are 4 kg and 10 kg respectively. If the coefficient of findion is 0.30 find the acceleration if

B

30

a. the system is moving up the plane.

b. the system is moving down the plane

Answer 1

a. When the system is moving up the plane, the acceleration can be calculated using the formula:

a = (m1*g - m1*g*μ)/(m1 + m2)

Where:
m1 = mass A = 4 kg
m2 = mass B = 10 kg
g = acceleration due to gravity = 9.81 m/s^2
μ = coefficient of friction = 0.30

Substitute the values into the formula:

a = ((4*9.81) - (4*9.81*0.3))/(4+10)
a = (39.24 - 11.772)/(14)
a = 27.468/14
a = 1.962 m/s^2

Therefore, the acceleration when the system is moving up the plane is 1.962 m/s^2.

b. When the system is moving down the plane, the acceleration can be calculated using the same formula:

a = (m1*g + m1*g*μ)/(m1 + m2)

Substitute the values into the formula:

a = ((4*9.81) + (4*9.81*0.3))/(4+10)
a = (39.24 + 11.772)/(14)
a = 51.012/14
a = 3.644 m/s^2

Therefore, the acceleration when the system is moving down the plane is 3.644 m/s^2.