Finding Acceleration of a Pendulum Ball at Point A

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To find the acceleration of a 2 kg ball at point A on a 3-meter string, the discussion emphasizes using the equations of motion, specifically F=ma and the relationship between tangential and radial acceleration. The user attempted to calculate the horizontal distance using trigonometry but encountered difficulties in combining forces with distances. A hint suggests focusing on tangential acceleration at point A, noting that there is no radial acceleration since the velocity is zero. Further guidance is provided to determine the angle of the gravitational force component in the tangential direction using trigonometric relationships. The conversation highlights the importance of correctly analyzing forces in the context of pendulum motion.
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Homework Statement


A 2 kg ball on a 3 meter long string swings along patch ABC. Angle AOB and AOC equal 30* each. Find the acceleration of the ball at point A.

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Homework Equations


Guesses: F=ma, v = vo + at

The Attempt at a Solution



I tried using tan30 = X/2.6 and solving for X to find the horizontal distance. Then, draw a FBD and mg = 20 and the other leg is X, which would allow me to solve for the hypotenuse. But I realized that I cannot add a force with a distance.
 
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Hint:
tangential acceleration in point A,since there is no radial acceleration cause V=0(ar=V^2/R)
Goodluck.
Edit:
hint number 2
find the angle of the component of the force mg in the tangential direction using trigo(height ,Length)
 
Dweirdo said:
Hint:
hint number 2
find the angle of the component of the force mg in the tangential direction using trigo(height ,Length)

hi,

how do i do that, i tried to see if the triangles were similar but no luck
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

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