# Homework 2

## Transcription

Homework 2

Homework 2 1. Determine the force P required to maintain the 200-kg engine in the position for which q = 30o. The diameter of the pulley at B is negligible. 2. A scale is constructed using the 10 kg mass A, the 2 kg pan P and the pulley and cord arrangement. Cord BCA is 2 m long. If s = 0.75 m, determine the mass D in the pan. Neglect the size of the pulley. 3. Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when supported from the rings at A and B. Note that s = 0 when the cylinders are removed. 4. Determine the tensions in cables AB, AC, and AD. z y x 5. If the maximum allowable tension in cables AB and AC is 2000 N, determine the maximum height z to which the 800 N crate can be lifted. What horizontal force F must be applied? z 2m B 2m C A 1.5 m 3m z x F y W=800 N 6. Determine the stretch in each of the two springs required to hold the 20 kg crate in the equilibrium position shown. Each spring has an unstretched length of 2 m and a stiffness of k = 300 N/m. 7. Collar A weighing 170 N, which can slide freely on the quarter circle, is held in equilibrium by cable AB. a) Determine the tension in the cable. b) Determine the magnitude and the components of the contact force acting on the collar from the circle. 4.5 m 3.4 m 15 r =3.4 m 8 8. Straight bar AB is fixed in space. Spring CD has a stiffness of 3 N/mm and its unstretched length is 200 mm. If there is no friction between collar C and bar AB, determine the weight W of the collar that produces the equilibrium condition shown and the reaction between the collar and bar AB.