Calculating Force on Albert in Lightweight Swing

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To calculate the forces acting on Albert in the swing scenario, start by applying Newton's second law for both horizontal and vertical components. The horizontal force equation is F = ma, while the vertical force equation is F = mg. A free body diagram is essential for visualizing the forces, particularly by breaking down the weight into components along the swing's direction and tangentially. To derive the force F, utilize the given variables: mass m, gravitational acceleration g, swing length L, and angle θ. This approach will lead to a comprehensive understanding of the forces at play in the swing system.
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Homework Statement


Your nephew Albert sits on a lightweight swing. Albert has a mass m. You pull horizontally on Albert so that the swing rope of length L maintains an angle \theta
with the vertical

Homework Equations


A. Write a Newton's 2nd law equations for the horizontal force components acting on the system.
B. Write a Newton's 2nd law equation for the vertical force components acting on the system.
C. Derive an expression that would allow you to calculate the value of F if you were given m, g, L, and \theta


The Attempt at a Solution

A. F=ma, B. F=mg. C. no clue
 
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jeff1982 said:

The Attempt at a Solution

A. F=ma, B. F=mg. C. no clue


Start by drawing the free body diagram with the mass at the angle. Then try splitting the weights into 2 components, one in the direction of the string and one tangential to the mass.
 
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