static equilibrium

Problem 328 | Equilibrium of Force System

Slope instead of angle to define the x- and y-components of force | Equilibrium of Force System

Problem 328
Two weightless bars pinned together as shown in Fig. P-328 support a load of 35 kN. Determine the forces P and F acting respectively along bars AB and AC that maintain equilibrium of pin A.
 

Two bars supoorting a downward force

 

Problem 327 | Equilibrium of Force System

Using Slope to Define the Direction of a Force | Equilibrium of Concurrent Forces

Problem 327
Forces P and F acting along the bars shown in Fig. P-327 maintain equilibrium of pin A. Determine the values of P and F.
 

Two bars supporting horizontal and vertical loads

 

Problem 326 | Equilibrium of Force System

Reactions at Smooth Contact Surfaces of Stacked Cylinders - Equilibrium of Force System

Problem 326
The cylinders in Fig. P-326 have the indicated weights and dimensions. Assuming smooth contact surfaces, determine the reactions at A, B, C, and D on the cylinders.
 

326-cylinders.gif

 

Problem 325 | Equilibrium of Three-force System

Amount and direction of the smallest force P required to start the wheel over the block

Problem 325
Determine the amount and direction of the smallest force P required to start the wheel in Fig. P-325 over the block. What is the reaction at the block?
 

Wheel to roll over a block in the incline

 

Problem 324 | Equilibrium of Three-force System

Equilibrium Condition at the State of Impending Motion - Problem 324 of Engineering Mechanics

Problem 324
A wheel of 10-in radius carries a load of 1000 lb, as shown in Fig. P-324. (a) Determine the horizontal force P applied at the center which is necessary to start the wheel over a 5-in. block. Also find the reaction at the block. (b) If the force P may be inclined at any angle with the horizontal, determine the minimum value of P to start the wheel over the block; the angle P makes with the horizontal; and the reaction at the block.
 

Wheel to roll over a block

Problem 323 | Equilibrium of Force System

Support Reactions of a Simply Supported Structure with Inclined Load

Problem 323
The truss shown in Fig. P-323 is supported by a hinge at A and a roller at B. A load of 20 kN is applied at C. Determine the reactions at A and B.
 

Truss of unlevel supports

 

Problem 322 | Equilibrium of Force System

Problem 322 - Support Reactions of a Simply Supported Fink Truss

Problem 322
The Fink truss shown in Fig. P-322 is supported by a roller at A and a hinge at B. The given loads are normal to the inclined member. Determine the reactions at A and B. Hint: Replace the loads by their resultant.
 

Fink truss with windloads

 

Problem 319 | Equilibrium of Concurrent Force System

Problem 319 - Finding the unknown angle theta and the normal force acting on the floor

Problem 319
Cords are loop around a small spacer separating two cylinders each weighing 400 lb and pass, as shown in Fig. P-319 over a frictionless pulleys to weights of 200 lb and 400 lb . Determine the angle θ and the normal pressure N between the cylinders and the smooth horizontal surface.
 

Cords loop around the spacer of cyliders

 

Problem 318 | Equilibrium of Concurrent Force System

Equilibrium of Four-Link Mechanism - Concurrent Forces in Equilibrium

Problem 318
Three bars, hinged at A and D and pinned at B and C as shown in Fig. P-318, form a four-link mechanism. Determine the value of P that will prevent motion.
 

Four-link mechanism

 

Problem 317 | Equilibrium of Concurrent Force System

Tensile Forces in Each Cord of a Knot System - Equilibrium of Concurrent Forces

Problem 317
The system of knotted cords shown in Fig. P-317 support the indicated weights. Compute the tensile force in each cord.
 

System of knotted cords

 

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