Particle accelerating

Particle accelerating

Postby markosheehan » Sun Dec 11, 2016 8:03 am

I am stuck on question 8. the equation i got for the wedge is .6R -.5S=ma r stands for relative force of the particle s stands for relative force of the wedge . i got the equation 4mg-R=5m(.6a) for the particle where a stands for acceleration of the wedge. does anyone know where to go from here. are my equations wrong? i have posted a picture of the question and a drew a picture of the diagram
WIN_20161207_14_06_57_Pro (2).jpg
WIN_20161207_14_06_57_Pro (2).jpg (105.75 KiB) Viewed 1053 times
WIN_20161207_14_10_57_Pro.jpg (151.88 KiB) Viewed 1053 times
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Re: Particle accelerating

Postby Guest » Thu Dec 15, 2016 7:34 pm

Your equations seem right to me.

Next work out S from R and the weight of the wedge. You should get

Now you have 3 equations in 3 unknowns (R, S, a):
0.6R-0.5S = ma
4mg-R = 5m(0.6a)
0.8R+mg = S

You can solve these simultaneous equations to get the value of a = (3/16)g.

Hope this helped,

R. Baber.

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