20 kg 75 kg 30° 60° Two cylinders having 75 kg and 20 kg mass are connected with a cable and held in equilibrium on smooth surfaces as shown in the figure. Determine the contact forces between the cylinders and the surfaces, the tension in the cable and the angle 0.

4. Determine the forces P, F, and T required to keep the triangular frame shown in the figure in A Solution: 2400lbs 4' equilibrium. Required: P, F & T to maintain equilibrium 3' B C 2 m 3600lbs P T

A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. hinge support (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is ly = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.

The structure shown in the figure carries a 5000 kg platform. Considering that the structure has also singular forces at joints C and D:a) Determine the reactions at the supports, b) Also determine the forces in members AB, AC, AD, and BD. State whether each member is in tension or compression. Note 1: Take the gravitational acceleration as 10 m/s2.Note 2: Assume that all connections between members are pin joints.

Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at Cand you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle of a = 35° and the force Fg is applied at an angle of 3 = 70°. The distance between Band the hinge at Cis DBC = 1.5 m, and the distance between A and the hinge at Cis DAC = 2 m. Suppose that |FA| = 100 N. Aa Dac a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude | Fg|- d) Calculate Fa|-

The light boom AB is attached to a vertical wall by a ball and socket joint at A and supported by two cables at B. A force P is applied at B where P = 19i - 14j kN.Note that the reaction force at A acts along the boom because it is a two-force member. Calculate the magnitude of the reaction force at A in kN. %3D 2 m C 4 m 6 m y Answer: Calculato the madnitude of the tension in cable BD in kN. ere to search 3m 6m

The pulley system shown in Figure Q1c lifts a mass,m,of 550 kg.Calculate the force FA necessary to maintain the suspended mass in static equilibrium; and determine the forces at the ceiling anchor points A and B. Assume frictionless and weightless pulleys and use g = 9.81 m/s2.

Need help, please round answers to 3 sig figs

The following figure shows a hollow piston of weight W=50 N and diameter D=3d occupies the position initial displayed. The lateral tube has a diameter d₁=d/2. Find the descent of the piston for the equilibrium position. (b=12 cm, d=8 cm, y=104 N/m³). TBL Agua D d₁

Determine the force in the cable OC and the elongation of the spring OA, OB necessary to support a box of mass (M) 400 kg as shown in the figure below. If a = 4 m, b = 5 m, c = 3 m, k1= 5000 N/mm and k2= 4000 N/mm.   All calculation using equilibrium of particles equation and must be in Newton (N) and with FBD