-17487187 C a search One end of a cord is foxed and a small o.250-kg object is t

Question

-17487187 C a search One end of a cord is foxed and a small o.250-kg object is the speed of the object is 8.50 m/s. to the other end, where it swings in a of r 1.50 m, as (a) At this instant, find the magnitude of the tension in the string (b) At this instant, find the tangential and radial components of acceleration. m/s2 downward tangent to the cirde 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 O No ^ 11/2S2017 0 Type here to

Explanation / Answer

at the position indicated

T - m*g*costheta = m*v^2/r

Tension T = m*g*costheta + mv^2/r

T = (0.25*9.81*cos22) + (0.25*8.5^2/1.5)

T = 14.3 N

================================

part(b)

atan = Ftan/m = m*g*sintheta/m = g*sintheta

atan = 9.81*sin22 = 3.67 m/s^2

ar = v^2/r = 8.5^2/1.5 = 48.2 m/s^2

========================

part(c)

a = sqrt(at^2 + ar^2)

atotal = sqrt(3.67^2+48.2^2) = 48.34 m/s^2

direction = tan^-1(at/ar) = 85.66

===============================

part(d)

Yes

(e)

at lowest

T - mg = mv^2/r

T = mg + mv^2/r

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