One end of a cord is fixed and a small 0.400-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When θ = 23.0°, the speed of the object is 5.50 m/s. An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion. (a) At this instant, find the magnitude of the tension in the string. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N (b) At this instant, find the tangential and radial components of acceleration. at = Your response differs from the correct answer by more than 100%. m/s2 downward tangent to the circle ac = Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2 inward (c) At this instant, find the total acceleration. inward and below the cord at Your response differs from the correct answer by more than 10%. Double check your calculations.° (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Yes No     (e) Explain your answer to part (d).

Question

One end of a cord is fixed and a small 0.400-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When

θ = 23.0°,

the speed of the object is 5.50 m/s.

An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion.
(a) At this instant, find the magnitude of the tension in the string.

Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N

(b) At this instant, find the tangential and radial components of acceleration.
at =

Your response differs from the correct answer by more than 100%. m/s2 downward tangent to the circle
ac =

Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2 inward

(c) At this instant, find the total acceleration.
inward and below the cord at
Your response differs from the correct answer by more than 10%. Double check your calculations.°

(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up?
Yes
No    

(e) Explain your answer to part (d).
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