Question

A young person with mass W = 60 kg lies on the floor and two other students, each also with mass W? = 60 kg, pick him up by the hands and the feet. The arms of the supporting students in combination with the body of the hanging student form a parabola-like curve, which is in tension. The equation of this curve is \begin{equation} y = d \left[ \left( \frac{2x^2}{D} \right) - 1 \right] \end{equation} where \(x\) and \(y\) denote horizontal and vertical distances (where \( -\frac{D}{2} \le x \le \frac{D}{2} \)) in which \(D\) denotes the span (the horizontal distance) between the shoulders of the supporting students. \(d\) is defined as the distance from a line between their shoulders to the bottom of the hanging youth. The supporting students lean backward to be able to keep the youth off the ground. Determine the angle of inclination of the supporting students [10] and the force exerted on them by the ground [10] when \(D = 2\) m, \(d = 0.5\) m, \(H = 1.5\) m and \(h = 1.0\) m. Assume W acts at \(x = 0\).

          A young person with mass W = 60 kg lies on the floor and two other students, each also with mass
W? = 60 kg, pick him up by the hands and the feet. The arms of the supporting students in
combination with the body of the hanging student form a parabola-like curve, which is in tension.
The equation of this curve is
\begin{equation}
y = d \left[ \left( \frac{2x^2}{D} \right) - 1 \right]
\end{equation}
where \(x\) and \(y\) denote horizontal and vertical distances (where \( -\frac{D}{2} \le x \le \frac{D}{2} \)) in which \(D\) denotes
the span (the horizontal distance) between the shoulders of the supporting students. \(d\) is defined as
the distance from a line between their shoulders to the bottom of the hanging youth. The
supporting students lean backward to be able to keep the youth off the ground. Determine the angle
of inclination of the supporting students [10] and the force exerted on them by the ground [10]
when \(D = 2\) m, \(d = 0.5\) m, \(H = 1.5\) m and \(h = 1.0\) m. Assume W acts at \(x = 0\).

A young person with mass W = 60 kg lies on the floor and two other students, each also with mass
W? = 60 kg, pick him up by the hands and the feet. The arms of the supporting students in
combination with the body of the hanging student form a parabola-like curve, which is in tension.
The equation of this curve is

y = d [ ( (2x^2)/(D)) - 1 ]

where x and y denote horizontal and vertical distances (where -(D)/(2)≤ x ≤(D)/(2)) in which D denotes
the span (the horizontal distance) between the shoulders of the supporting students. d is defined as
the distance from a line between their shoulders to the bottom of the hanging youth. The
supporting students lean backward to be able to keep the youth off the ground. Determine the angle
of inclination of the supporting students [10] and the force exerted on them by the ground [10]
when D = 2 m, d = 0.5 m, H = 1.5 m and h = 1.0 m. Assume W acts at x = 0.

Added by Patricia H.

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