Newton's Laws with a Pulley, with tension, Force

AI Thread Summary
To find the tension in the connecting string with a force of 8.0 N and a mass of 1.0 kg on a frictionless pulley system, the equations of motion must be applied. The equation 8 - T = 2a is correctly set up for the 2 kg block, while the tension equation for the 1 kg block requires a proper understanding of the angle and weight components. It is essential to convert mass to weight and calculate the weight's components acting down the incline. The correct trigonometric function must be used to resolve the weight force into parallel and perpendicular components. Proper geometry is necessary to accurately determine the tension in the string.
mandragora
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Homework Statement


If F = 8.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.
16aznmv.jpg



Homework Equations


F=ma


The Attempt at a Solution


8-T=2a (2kg block)
T - 1cos10? = 1a (for the 1kg block. I got stuck here, the angle threw me off)

Thanks!
 
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mandragora said:

Homework Statement


If F = 8.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.
16aznmv.jpg



Homework Equations


F=ma


The Attempt at a Solution


8-T=2a (2kg block)
this is good
T - 1cos10? = 1a (for the 1kg block. I got stuck here, the angle threw me off)

Thanks!
You must first convert mass to weight, and calculate the weight force component acting down the plane (the weight acts straight down, and you can find its components parallel to and perpendicular to the incline). Your trig function is incorrect,,,you will have to do a little geometry to calculate the weight component acting parallel to the plane.
 

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