Suppose you swing a ball of mass m in a vertical circle on a string of...
Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity ωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top.
Find an expression for ωmin in terms of g and L .
Evaluate ωmin in rpm for a 65 g ball tied to a 1.4-m-long string.
Homework Answers
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Suppose you swing a ball of mass m in a vertical circle on a
string of...
1. You can swing a ball on a string in a vertical circle if you swing...
1. You can swing a ball on a string in a vertical circle if you swing it fast enough. But if you swing too slowly, the string goes slack as the ball nears the top. Explain why there's a minimum speed to keep the ball moving in a circle.
You swing a ball in a vertical circle at the end of a string that always...
You swing a ball in a vertical circle at the end of a string that always remains taut. At the top of the circle, the centripetal force on the ball is a.)larger thant its weight,b.)onehalf of its weight c) smaller than its weight d.) equal to its weight d.) twice its weight
A 99 g ball is tied to the end of a 49 cm long string and...
A 99 g ball is tied to the end of a 49 cm long string and swung clockwise in a vertical circle. The center of the circle is 175 cm above the floor. What is the minimum speed necessary to make it over the top without the string going slack? The ball is being swung at this minimum speed, but then the string is released at the instant the ball is at the top of the loop. How far to...
You swing a rock tied to a string in a vertical circle. (A) Construct a consistent...
You swing a rock tied to a string in a vertical circle. (A) Construct a consistent force diagram for the rock as it passes the low point in its swing. Use two vectors (mg and Tbottom). (B) Determine the force that the string exerts on the rock. Express your answer in terms of vt (speed of the rock in the high point in its swing), R ( length of the string), m ( mass of the rock), and constant g.
A small ball of mass m is tied to a string and set rotating with negligible...
A small ball of mass m is tied to a string and set rotating with negligible friction in a vertical circle of radius R with earth's gravity g acting. (a) What is the speed of the ball at the top of the circle so that the tension in the string vanishes there? (b) Given this, what is the speed of the ball at the bottom of the circle, and (c) what is the tension in the string at the bottom...
A 900 g ball moves in a vertical circle on a 1.07 m -long string. If...
A 900 g ball moves in a vertical circle on a 1.07 m -long string. If the speed at the top is 4.10 m/s , then the speed at the bottom will be 7.67 m/s . A) What is the ball's weight? B) What is the tension in the string when the ball is at the top? C) What is the tension in the string when the ball is at the bottom?
A tennis ball connected to a string is spun around in a vertical, circular path at...
A tennis ball connected to a string is spun around in a
vertical, circular path at a uniform speed. The ball has a mass m =
0.153 kg and moves at v = 5.08 m/s. The circular path has a radius
of R = 0.99 m
1)What is the magnitude of the
tension in the string when the ball is at the bottom of the
circle?
2)What is the magnitude of the tension in the
string when the ball is...
A tennis ball connected to a string is spun around in a vertical, circular path at...
A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.178 kg and moves at v = 4.75 m/s. The circular path has a radius of R = 0.91 m 1) What is the magnitude of the tension in the string when the ball is at the bottom of the circle? N Submit + 2) What is the magnitude of the tension in the...
A tennis ball connected to a string is spun around in a vertical, circular path at...
A tennis ball connected to a string is spun around in a
vertical, circular path at a uniform speed. The ball has a mass m =
0.175 kg and moves at v = 5.22 m/s. The circular path has a radius
of R = 1.14 m
1.What is the
magnitude of the tension in the string when the ball is at the
bottom of the circle?
2.What is the
magnitude of the tension in the string when the ball is...
1. You can swing a ball on a string in a vertical circle if you swing it fast enough. But if you swing too slowly, the string goes slack as the ball nears the top. Explain why there's a minimum speed to keep the ball moving in a circle.
A small ball of mass m is tied to a string and set rotating with negligible friction in a vertical circle of radius R with earth's gravity g acting. (a) What is the speed of the ball at the top of the circle so that the tension in the string vanishes there? (b) Given this, what is the speed of the ball at the bottom of the circle, and (c) what is the tension in the string at the bottom...
A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.178 kg and moves at v = 4.75 m/s. The circular path has a radius of R = 0.91 m 1) What is the magnitude of the tension in the string when the ball is at the bottom of the circle? N Submit + 2) What is the magnitude of the tension in the...
A tennis ball connected to a string is spun around in a
vertical, circular path at a uniform speed. The ball has a mass m =
0.175 kg and moves at v = 5.22 m/s. The circular path has a radius
of R = 1.14 m
1.What is the
magnitude of the tension in the string when the ball is at the
bottom of the circle?
2.What is the
magnitude of the tension in the string when the ball is...
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