Question

The upper end of the string of a conical pendulum is fixed to a vertical z-axis, and set in motion such that the bob moves along a horizontal circular path of radius $2$m, parallel to the x-y plane, $5$m above the origin. The bob has a speed of $3$ m/s. The string breaks when the bob is vertically above the x-axis, and the bob lands on the xy plane at a point(x, y).

• A. $x=2m$
• B. $x>2m$
• C. $y=3m$
• D. $y=5m$

Answer 1

The correct option is A $x=2m$

In this problem:

When string breaks the particle starts from the point$(2,0,5)$ with speed $uy=2m/s$ and moves as a projectile. It will reach the $xy$ plane in $1$ second.