In: Physics
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 1.00 m, as shown in the figure below. When
θ = 18.0°,
the speed of the object is 7.50 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.
N
(b) At this instant, find the tangential and radial components of
acceleration.
at = |
m/s2 inward |
ac = |
m/s2 downward tangent to the circle |
(c) At this instant, find the total acceleration.
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).
The component of gravity provides a tangential acceleration to the object, thus changing it's speed.