(a) Show that the gravitational field of a ring of uniform mass is zero at the center of the ring....

Question

(a) Show that the gravitational field of a ring of uniform mass is zero at the center of the ring.
(b) Figure shows a point P in the plane of the ring but not at its center. Consider two elements of the ring of length s1 and s2 at distances of r1 and r2, respectively.
1. What is the ratio of the masses of these elements?
2. Which produces the greater gravitational field at point P?
3. What is the direction of the field at point P due to these elements?
(c) What is the direction of the gravitational field at point P due to the entire ring?
(d) Suppose that the gravitational field varied as 1/r rather than 1/r2. What would be the net gravitational field at point P due to the two elements?
(e) How would your answers to parts (b) and (c) differ if point P were inside a spherical shell of uniform mass rather than inside a plane circularring?

Robert · Accepted Answer

1. F=ma-µmg 
For 02.8s  a=1.2t-2.4 m/s2 
Therefore 1.8t=1.5* (1.2t-2.4) -  µ*1.5*9.8 
At t=2.8 
1.8*2.8 =1.5* (1.2*2.8 -2.4) -  µ*1.5*9.8 
µ=0.24  Ans  kinetic friction

(a) Show that the gravitational field of a ring of uniform mass is zero at the center of the ring. (b) Figure shows a point P in the plane of the ring but not at its center. Consider two elements of...

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