Solved: CP Pendulum. A small rock with mass 0.12 kg is

Chapter 7, Problem 82P

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QUESTION:

Problem 82P

CP Pendulum. A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45o with the vertical. Air resistance is negligible. (a) What is the speed of the rock when the string passes through the vertical position? What is the tension in the string (b) when it makes an angle of 45o with the vertical, (c) as it passes through the vertical?

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QUESTION:

Problem 82P

CP Pendulum. A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45o with the vertical. Air resistance is negligible. (a) What is the speed of the rock when the string passes through the vertical position? What is the tension in the string (b) when it makes an angle of 45o with the vertical, (c) as it passes through the vertical?

ANSWER:

Solution 82P

Step 1 of 5:

(a) What is the speed of the rock when the string passes through the vertical position?

A small rock of mass m=0.12 kg is attached to a string of length 0.8 m vertically. Similar to pendulum, it makes an angle 45 degree with the vertical plane when it swings, here we need to calculate the speed of the rock when the string passes through the vertical position v=?, as shown in the figure below

1.png

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