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 2.50 m as shown in the figure below. When $\theta = 26.0^\circ$, the speed of the object is 6.50 m/s. At this instant, find each of the following. (a) the tension in the cord $T = $ ____ N (b) the tangential and radial components of acceleration $a_\theta = $ ____ m/s$^2$ downward tangent to the circle $a_r = $ ____ m/s$^2$ inward (c) the total acceleration $a_{total} = $ m/s$^2$ inward and below the cord at $^\circ$ (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? $\circ$ Yes $\circ$ No (e) Explain your answer to part (d).

          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 2.50 m as shown in the figure below. When $\theta = 26.0^\circ$, the speed of the object is 6.50 m/s. At this instant, find each of the following.
(a) the tension in the cord
$T = $ ____ N
(b) the tangential and radial components of acceleration
$a_\theta = $ ____ m/s$^2$ downward tangent to the circle
$a_r = $ ____ m/s$^2$ inward
(c) the total acceleration
$a_{total} = $ ____ m/s$^2$ inward and below the cord at ____ $^\circ$
(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up?
$\circ$ Yes
$\circ$ No
(e) Explain your answer to part (d).

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 2.50 m as shown in the figure below. When θ = 26.0^∘, the speed of the object is 6.50 m/s. At this instant, find each of the following.
(a) the tension in the cord
T = N
(b) the tangential and radial components of acceleration
aθ = m/s^2 downward tangent to the circle
ar = m/s^2 inward
(c) the total acceleration
atotal = m/s^2 inward and below the cord at ^∘
(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).

Added by Amber M.

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