A heavy box of mass M is found at rest on an inclined loading ramp as indicated in the figure. The ramp is placed between the ground and the back of a pickup truck so that it is inclined at an angle 0 above the horizontal. The coefficients of kinetic and static friction between the wooden box and the aluminium ramp are uk and , respectively. 1. Pushing up the box parallel to the ramp, what is the magnitude Fmin of the minimum force you need in order to get the box to start to move towards the back of the truck? 2. If µk = 0.15 and u, = 0.45, for which inclination of the ramp between 0° and 90°, will you have to push the hardest in order to get the box moving towards the back of the truck?

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A heavy box of mass M is found at rest on an inclined loading ramp as indicated in the figure.
The ramp is placed between the ground and the back of a pickup truck so that it is inclined at an
angle 0 above the horizontal. The coefficients of kinetic and static friction between the wooden
box and the aluminium ramp are µk and µ,, respectively.
1. Pushing up the box parallel to the ramp, what is
the magnitude Fmin of the minimum force you need
பmm
in order to get the box to start to move towards
the back of the truck?
2. If µk
= 0.15 and µ, = 0.45, for which inclination
of the ramp between 0° and 90°, will you have to
push the hardest in order to get the box moving
towards the back of the truck?
Transcribed Image Text:A heavy box of mass M is found at rest on an inclined loading ramp as indicated in the figure. The ramp is placed between the ground and the back of a pickup truck so that it is inclined at an angle 0 above the horizontal. The coefficients of kinetic and static friction between the wooden box and the aluminium ramp are µk and µ,, respectively. 1. Pushing up the box parallel to the ramp, what is the magnitude Fmin of the minimum force you need பmm in order to get the box to start to move towards the back of the truck? 2. If µk = 0.15 and µ, = 0.45, for which inclination of the ramp between 0° and 90°, will you have to push the hardest in order to get the box moving towards the back of the truck?
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