The drawing shows a hydraulic chamber with a spring (spring constant = 1633 N/m)

Question

The drawing shows a hydraulic chamber with a spring (spring constant = 1633 N/m) attached to the input piston and a rock of mass 38.5 kg resting on the output plunger. The piston and plunger are nearly at the same height, and each has a negligible mass. By how much is the spring compressed from its unstrained position? (Assume A_1 = 16 cm^2 and A^2 = 70 cm^2.) The drawing shows a hydraulic system used with disc brakes. The force F is applied perpendicularly to the brake pedal. The pedal rotates about the axis shown in the drawing and causes a force to be applied perpendicularly to the input piston (radius = 9.24 times 10^3 m) in the master cylinder. The resulting pressure is transmitted by the brake fluid to the output plungers (radii = 1.76 times 10^-2 m). which are covered with the brake linings. The linings are pressed against both sides of a disc attached to the rotating wheel.

Explanation / Answer

Given :

K = 1633 N/m

m = 38.5 kg

F = Fr*(A1/A2) = 38.5*9.8*(16/70) = 86.24.

X = F/k = 86.24/1633 = 0.0528 m = 5.28 cm

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.