2) If the mass of m2 is increased until m1 accelerates with acceleration a. What

Question

2) If the mass of m2 is increased until m1 accelerates with acceleration a. What is the coefficient of friction, uk in terms of m1, m2, a and g? (Here are a list of hints to help guide you through the problem.)
a. Create free body diagrams for m1 and m2. Make sure you note that the tension forces on the two objects is the same magnitude. Also remember that the accelerations of the two objects are the same magnitude.
b. Create a formula for the Normal force on m1. From this calculate the Frictional force on m1.
c. Use Newton’s second law in the x direction for m1, AND use Newton’s Second Law in the y direction for m2. Solve for the coefficient of friction uk.

Explanation / Answer

vertical friction N=mg ; minimum force needed to privent slipping is f=uk*N= uk*mg; block movies towards right with an accelaeration a, T-f=ma, T-uk* mg=ma; uk*mg=ma+T; uk=(ma+T)/mg finally uk= (ma+T)/mg whre T is tenson by string

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