Mechanics II A mass m is attached to a string of length / and released when the

Question

Mechanics II A mass m is attached to a string of length / and released when the string is horizontal, causing the mass to fall in a circular path as shown in Figure 24 .41 At the time that the mass has fallen through the angle Theta. determine the following (in terms of m, l, g. and Theta): (a)the speed of the object (b)the magnitude of the centripetal acceleration (c)the magnitude of the tangential acceleration (d)the magnitude of the tension force (e)the maximum value of the tension force in the string

Explanation / Answer

a) 1/2 mv^2=mgRsin(theta)

==> v=sqrt(2*Rgsin(theta))

b) centripital accn=v^2/R=2gsin(theta)

c)tangential accn=gcos(theta)

d) T=mv^2/R= 2Rgsin(theta)

e) maxx value of T= 2Rg

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