Consider a ball on a fixed-length string being whirled in a vertical circular pa
ID: 1283181 • Letter: C
Question
Consider a ball on a fixed-length string being whirled in a vertical circular path as shown in the diagram below.
(a) When the ball is at the top of the circle, what is the tension in the string? (Use the following as necessary: the length L of the string, the mass m, speed v of the ball, and gravitational acceleration g.) T =
(b) What minimum speed should the ball have at the top of the circle to continue in its circular motion? (Use any variable or symbol stated above as necessary.) vmin=
Consider a ball on a fixed-length string being whirled in a vertical circular path as shown in the diagram below. (a) When the ball is at the top of the circle, what is the tension in the string? (Use the following as necessary: the length L of the string, the mass m, speed v of the ball, and gravitational acceleration g.) T = (b) What minimum speed should the ball have at the top of the circle to continue in its circular motion? (Use any variable or symbol stated above as necessary.) vmin=Explanation / Answer
a) T = mv2/L - mg = m [ (v2/L) - g ]
b) for ball to continue to be in circular path T( tension ) must be grater than zero
T > = 0
m [ (v2/L) - g ] >= 0
(v2/L) - g >= 0
v2 >=gL
vmin = sqrt ( gL )
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