Gradeb Print CalculatorPeriodic Table estion 19 of 24 SaplingLearning Map a mail

Question

Gradeb Print CalculatorPeriodic Table estion 19 of 24 SaplingLearning Map a mail sortie While the pathe horizontal slide down a ramp but are stopped part way down the ramp so that they s they are held in place by a horizontal force from a While the packages are scanned The ramp is at an angle of 35.5 with the horizontal. The can be scanned. spring-loaded arm. Calculate the minimum force that must be applied by this arm to hold a ramp. on the has a mass of 7.25 kg. icient of static friction between the ramp and the package is 0.44 Number 35.5 8 4

Explanation / Answer

For the package to slide, the weight must be equal to the applied force component and overcome the friction force

m*g*sin? = Fa*cos? + µ*(m*g*cos? + Fa*sin?) where Fa is applied force which we need to find
Fa*(cos? + µ*sin?) = m*g*((sin? - µ*cos?)

solving for Fa, we get

Fa = m*g*(sin? - µ*cos?) / (cos? + µ*sin?)

Fa = 7.25*9.8(sin 35.5 - 0.445*cos35.5) / (cos 35.5 + 0.445*sin 35.5)

Fa = 15.5189 / 1.0725

Fa = 14.4698 Newton.

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