A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has stiffness k1 = 300 N/m and natural length L1 = 250 mm. The corresponding quantities for the spring on the right are k2 = 400 N/m and L2 = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is distance h = 80 mm below the point of support for the spring on the left. Neglect the weight of the springs.
(a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position?
(b) If P is now removed, what new value of k1 is required so that the bar (figure part a) will hang in a horizontal position under weight W?
(c) If P is removed and k1 = 300 N/m, what distance b should spring k1 be moved to the right so that the bar (figure part a) will hang in a horizontal position under weight W?
(d) If the spring on the left is now replaced by two springs in series (k1 = 300N/m, k3) with overall natural length L1 = 250 mm (see figure part b), what value of k3 is required so that the bar will hang in a horizontal position under weight W?

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New position of ki for part (c) only LI Load P for part (a) only k3 AD