Newton's Second Law of Motion -- Three masses, an inclined plane and a pulley

In summary: Tension and Gravity are opposite forces. So we should consider the Gravity...The tension force will be equal to ##(m_1+m_2)*g*\sin(16)##. The gravity force will be the same as the mass times the acceleration of the mass.The tension force will be equal to ##(m_1+m_2)*g*\sin(16)##. The gravity force will be the same as the mass times the acceleration of the mass.
  • #36
mustafamistik said:
Using ##F=m*a##;
##M*g-(m_1+m_2)*sin(16)*g/(M+m_1+m_2)=a##
You might need to tidy that up a bit. And check you aren't missing some brackets.

What does that tell you about the acceleration of ##m_1##?
 
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  • #37
PeroK said:
You might need to tidy that up a bit. And check you aren't missing some brackets.

What does that tell you about the acceleration of ##m_1##?
You are right.
##(M*g-(m_1+m_2)*sin(16)*g)/(M+m_1+m_2)=a##
=> ##(g*(M-(m_1+m_2)*sin(16)))##
a is acceleration of the all system.
 
  • #38
mustafamistik said:
You are right.
##(M*g-(m_1+m_2)*sin(16)*g)/(M+m_1+m_2)=a##
=> ##(g*(M-(m_1+m_2)*sin(16)))##
a is acceleration of the all system.
And there's an upper limit on ##a##, correct? Depending on ##\mu##?
 
  • #39
PeroK said:
And there's an upper limit on ##a##, correct? Depending on ##\mu##?
This is the point where I stuck.
 
  • #40
mustafamistik said:
This is the point where I stuck.
I don't know what you mean. You did that already:

mustafamistik said:
This equation to find maximum acceleration. (m2*g*cos(16)* μ) -(m2*g*sin(16))=m2*a (F=ma)

Maybe it was so long ago!
 
  • #41
PeroK said:
I don't know what you mean. You did that already:
Maybe it was so long ago!
Is that equation true ?
 
  • #42
mustafamistik said:
Is that equation true ?
I think so. You just have to put everything together now.
 
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  • #43
PeroK said:
I think so. You just have to put everything together now.
Thank you and @haruspex for helping solve and understand this question. Also thanks for your interest.
 

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