You are helping your mother hang up a new family photo, and she can t quite deci

Question

You are helping your mother hang up a new family photo, and she can t quite decide where she wants to put it. Consequently, you are left standing against the wall, holding the photo still for her as she tries to decide if it's in the right spot. If you apply a constant force to the photo at an angle of 15 degrees above the horizontal, as shown in the diagram below, what is the minimum strength of the force that you must exert to keep the photo from slipping? The coefficient of static friction between the wall and the photo is Mew_s = 0.20, and the photo has a mass of 2.5 kg.

Explanation / Answer

photo is in equilibrium, hence Fnet = 0

in horizontal,

Fcos@ - N = 0

N = Fcos15

friction force, f = u N = 0.20Fcos15

in vertical,

Fsin15 + f - mg = 0

Fsin15 + 0.20Fcos15 = 2.5 x 9.8

F (0.452) = 24.5

F = 54.20 N .......Ans

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