###### Engineering Mechanics Statics

124 SOLVED PROBLEMS

Question: 1.7.1

## Find the forces at A and B that act on the hopper shown on the left .Combined mass of hopper and its contents is 4000 kg and its center of mass, location where cable is applied and its orientation angle relative to the vertical (15°). .This is a planar system. A and B are rollers in a vertical ...

Formulate Equations Based on equilibrium condition...
Question: 11.2.3

## The cable shown in Figure 1 is a model of one of the main cables on the center span of the Golden Gate bridge. Each main cable supports one half the roadbed resulting in a load of 165 kN/m of horizontal length. The towers are 1280 m apart, and the sag of the cable is 144 m. Determine the cable ...

Goal Find the cable tension at midspan, the maximu...
Question: 9.2.2

## A toggle clamp holds workpiece F (Figure 1) (a) Assuming the weight of the clamp members can be ignored, determine the mechanical advantage of this toggle clamp, defined as the ratio of the output force at the workpiece to P.(b) For the dimensions shown in the accompanying list, what is the ...

Goal Find the force at E ($F_{E}$) in...
Question: 7.2.1

## The system in Figure 1 consists of a pulley that fits loosely over a shaft. The shaft is rigidly supported at its ends and does not turn. The diameter of the wheel is 150 mm, and that of the shaft is 20 mm. between the shaft and the pulley the coefficient of static friction is 0.40, and the ...

Goal Find the tension T in the rope to keep the we...
Question: 6.2.2

## The inclined beam in Figure 1 is subjected to the vertical force distribution shown. The value of the load distribution at B is 0 (force units per horizontal length unit). Determine the loads acting on the beam at supports A and B. ...

Goal Calculate the loads acting on the beam at A a...
Question: 9.2.3

## A single-stage gear train is shown in Figure 1. The input force Fin causes Shaft 1 to rotate counterclockwise. Gear 1 meshes with Gear 2 and causes Shaft 2 to rotate clockwise and exert the output force Fout on an output device (not shown). Each gear is mounted on a shaft of 5-mm radius supported ...

Goal Find a relationship between the output and in...
Question: 10.2.3

## A rider is pushing on each arm of the bicycle handlebars in Figure 1 with a force of 50.0 lb. Each force is applied at 30° to the horizontal and at 2 in. from the end of the arm. Find the internal loads at the intersection of the handlebars and the stem. ...

Goal Find the internal forces and bending moments ...
Question: 10.2.2

## The cantilever beam in Figure 1 is loaded with a point force at the free end and a concentrated moment at a distance of L/2 from the free end. Determine the axial force, shear force, and bending moment at cross sections at B and D. ...

Goal Find the axial force, shear force, and bendin...
Question: 10.2.1