Question 13.76 A small package of weight W is projected into a vertical return l

Question

Question 13.76

A small package of weight W is projected into a vertical return loop at A with a velocity v0.The package travels without friction along a circle of radius r and is deposited on a horizontal surface at C. For each of the two loops shown, determine (a) the smallest velocity v0 for which the package will reach the horizontal surface at C, (b) the corresponding force exerted by the loop on the package as it passes point B. Fig. P13.76 The 1-kg hall at A is suspended by an inextensible cord and given an initial horizontal velocity of 5 m/s. If l = 0.6 in and xB = 0,

Explanation / Answer

a)using conservation of energy

v0=sqrt(4*9.81*r)

b)velocity at point B

V=V_0/sqrt(2)

Force=mV^2/r=mV_0^2/2r

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