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183_notes:examples:holding_block_against_a_wall [2014/09/16 07:15] – pwirving | 183_notes:examples:holding_block_against_a_wall [2014/09/22 04:16] (current) – pwirving | ||
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=== Lacking === | === Lacking === | ||
+ | →Fnet in the x-direction | ||
+ | |||
+ | →Fnet in the y-direction | ||
=== Approximations & Assumptions === | === Approximations & Assumptions === | ||
+ | Assume applied horizontal force is constant. | ||
=== Representations === | === Representations === | ||
+ | |||
+ | {{183_notes: | ||
Δ→p=→FnetΔt | Δ→p=→FnetΔt | ||
Line 24: | Line 30: | ||
==== Solution ==== | ==== Solution ==== | ||
- | You need to identify whether the momentum in the y direction is negative (if it is, that would mean it was slipping down the wall). | + | You need to identify whether the momentum in the y direction is negative (if it is, that would mean it was slipping down the wall, if it was positive it would mean it is slipping up the wall). |
Start by computing the change in momentum for both the x direction and the y direction. | Start by computing the change in momentum for both the x direction and the y direction. | ||
- | $ x: \Delta p_x = (F_{head} - F_N) \Delta t = 0 $ | + | $ x: \Delta p_x = (F_{hand} - F_N) \Delta t = 0 $ |
y:Δpy=(FN−mg)Δt,assumingitslides | y:Δpy=(FN−mg)Δt,assumingitslides | ||
- | Combining these two equations, we have | + | Combining these two equations |
+ | |||
+ | (Fhand−FN)Δt=0 | ||
+ | |||
+ | $ F_{hand} \Delta t - F_N \Delta t = 0 \,\, | ||
+ | |||
+ | FhandΔt=FNΔtMakeequaltoeachother. | ||
+ | |||
+ | Fhand=FNCancelΔt. | ||
+ | |||
+ | Substituting in we get: | ||
Δpy=(Fhead−mg)Δt=(0.6(40N)−(3kg)(9.8N/kg))Δt | Δpy=(Fhead−mg)Δt=(0.6(40N)−(3kg)(9.8N/kg))Δt |