(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.

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ISBN: 9781260804638

Author: BEER

Publisher: MCG

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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.

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Chapter 6.3, Problem 6.96P

Chapter 6.3, Problem 6.98P

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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

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VECTOR MECHANICS FOR ENGINEERS W/CON >B

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The reaction at each of the four wheels.

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

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The reaction at each of the four wheels.

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

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