Magnitude and Acceleration Problem

  • Thread starter MFlood7356
  • Start date
  • #1
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1. Three astronauts, propelled by jet backpacks, push and guide a 148 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 29 N, F2 = 54 N, F3 = 40 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis) of the asteroid's acceleration?

2. F=ma

3. So I've been trying to do this problem and I can't seem to figure it out. I'm on my last attempt on my online homework so I really need some help. Here's how far I've gotten:
Ax=((29cos30)+(54cos0)+(40cos60))/148=0.667
Ay=((29sin30)+(54sin0)+(40sin60))/148=0.332
sqrt0.3322+0.6672=0.748
invertan(0.332/0.667)=26.5degrees
 

Answers and Replies

  • #2
rl.bhat
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Whether angle θ3 =60 degrees is above or below the + x-axis?
 
  • #3
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The third angle is below the x axis.
 
  • #4
rl.bhat
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The third angle is below the x axis.
In that case
Ay=((29sin30)+(54sin0)+(40sin60))/148=0.332
this equation is wrong. It should be
Ay=((29sin30)+(54sin0) - (40sin60))/148=0.332
 
  • #5
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So the only thing I did wrong was not negate that part?
 
  • #6
rl.bhat
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Yes.
 

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