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Old Jun 5th 2017, 05:48 AM   #1
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Question ?

Hello again my friends

As i told you before about my studying Physics using " Physic for Scientists and Engineers" book , i have found this question in page 245 . question No. 51

I tried to solve it , but i could not , could any one help me to solve it ? i will thankful for him .
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Old Jun 5th 2017, 07:42 AM   #2
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Start by determining the velocity of the pumpkin as a function of theta. From energy principles, $\displaystyle v^2 = \sqrt {2g \Delta h}$, where $\displaystyle \Delta h$ is the vertical height that the pumpkin descends: $\displaystyle \Delta h = R(1-\cos \theta)$.

Next determine the radial acceleration of the pumpkin as a function of theta, based on $\displaystyle a_r = v^2/R$

Finally, recognize that the pumpkin loses contact when the radial acceleration exceeds the component of acceleration due to gravity (g) that operates in the radial direction, which is $\displaystyle g \cos \theta$.

Can you take it from here?
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Old Jun 7th 2017, 02:09 AM   #3
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Dear friend ChipB

Thanks for your replay and also for your hint , now i have solved the problem .

Many thanks
Best regards
Razi
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