(a) Explanation Figure 1 shown below is the free body diagram of the entire machine. Let A and B be the reaction forces at the front wheel and rear wheel respectively. Write the equation to find the sum of moments about wheel A. ∑ M A = W l ( 3.2 m ) − W g ( 1.2 m ) + 2 B ( 4.8 m ) − W m ( 5.6 m ) = 0 (I) Here, W l is the weight of the load applied, W g is he weight at the center of gravity point, B is the reaction force at the rear wheel, W m is the weight of motor unit. Write the sum of y component of forces about front wheel. ∑ F y = 2 A + 2 B − W l − W g − W m = 0 (II) Here, W l is the weight of the load applied, W g is he weight at the center of gravity point, B is the reaction force at the rear wheel, W m is the weight of motor unit. Conclusion: Substitute 75 kN for W l , 100 kN for W g , and 300 kN for W m in equation (I) to get B (b) To determine The forces exerted on the motor unit at C and D.

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 6.3, Problem 6.97P

(a)

To determine

The reaction at each of the four wheels.

(b)

To determine

The forces exerted on the motor unit at C and D.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.3, Problem 6.96P

Chapter 6.3, Problem 6.98P

Students have asked these similar questions

6.97 The cab and motor units of the front-end loader shown are connected by a vertical pin located 2 m behind the cab wheels. The distance from C to D is 1 m. The center of gravity of the 300-kN motor unit is located at Gm, while the centers of gravity of the 100-kN cab and 75-kN load are located, respectively, at Go and G₁. Knowing that the machine is at rest with its brakes released, determine (a) the reactions at each of the four wheels, (b) the forces exerted on the motor unit at C and D. 100 KN 0.8 m G₁ 75 kN Fig. P6.97 3.2 m- A 1.2 m Gc -2 m $ D 2.8 m B 300 KN G m

Q.3) A luggage transport truck is used to raise and lower luggage from an aircraft. A piece of luggage weighing 450 lbs. is supported in the position shown with a center of gravity at point G. The raising and lowering mechanism are connected to the truck bed by a pin support at F and a roller support at H, and to the luggage platform by a pin support at C and a roller support at D. The hydraulic strut AB is pinned at either end and used to raise and lower the mechanism. Assume the weight of all members within the mechanism are negligible, that point C is vertically aligned with F, point D is vertically aligned with H, and that the strut AB is vertically 20maint oriented. (a) Determine the support reactions at F and H in the stationary position shown. (b) Determine the force in the hydraulic strut AB and state whether it is in tension or compression. 80000000 C 2.5 ft 0.5 ft 3 ft A B F G E H D 4 ft 4 ft

Problem 1.1

Chapter 6 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The reaction at each of the four wheels.

Solution Summary: The author analyzes the reaction forces at each of the four wheels.

Concept explainers

Videos

The reaction at each of the four wheels.

The forces exerted on the motor unit at C and D.

Want to see the full answer?

Chapter 6 Solutions