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Math Help - Expression in Terms of Theta

  1. #1
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    Expression in Terms of Theta

    A crate weighing w pounds sits on a ramp positioned at an angle of \theta with the horizontal. The forces acting on this crate are modeled by the equation Mw cos \theta = w sin \theta , where M is the coefficient of friction. What is an expression for M in terms of \theta ?

    a) M = tan \theta

    b) M = sec \theta

    c) M = cot \theta

    d) M = csc \theta
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  2. #2
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    Quote Originally Posted by ThaBeretta View Post
    A crate weighing w pounds sits on a ramp positioned at an angle of \theta with the horizontal. The forces acting on this crate are modeled by the equation Mw cos \theta = w sin \theta , where M is the coefficient of friction. What is an expression for M in terms of \theta ?

    a) M = tan \theta

    b) M = sec \theta

    c) M = cot \theta

    d) M = csc \theta
    Divide through by wcos(\theta):

    M = \frac{wsin(x)}{wcos(x)}

    w will cancel out and what does sin(x)/cos(x) equal
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  3. #3
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    M = \frac{wsin(x)}{wcos(x)}is equal to tan \theta . Thus the answer is choice "a". Thanks again!
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