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A bar length (l) and negligible mass connects the cart mass (M) and the particle

ID: 1826620 • Letter: A

Question

A bar length (l) and negligible mass connects the cart mass (M) and the particle of the mass (m). If the cart is subjected to a constant acceleration (a) to the right, what is the resultingsteady-state angle (theta) which the freely pivoting bar makes with the vertical? Determine the net force (P) which must be applied to the cart to cause the specified acceleration

THe correct answers are theta = tan^-1(a/g) and P = (M+m)a. Please show me all all the steps on how to solve this problem and it will help me out a lot

Explanation / Answer

T*cos(theta) =ma ........(1) Tsin(theta) =mg ........(2) .... from (1) and (2) tan(theta) = g/a ...... theta = tan^-1(g/a)

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