Explanation Given information: The mechanism is used to hide kitchen appliances under a cabinet by allowing the shelf to rotate downward. The weight of the mixer is 10 lb, is centered on the shelf, and has a mass center at G . There is similar mechanism on each side of the shelf, so that each mechanism supports 5 lb of the load. The springs each have a stiffness of k = 4 lb/in . . Assumption: Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member. Consider the force indicating the right side as positive and the left side as negative in horizontal components of forces. Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces. Consider the clockwise moment as negative and the anti-clockwise moment as positive wherever applicable. Apply the equation of equilibrium wherever applicable. Shelf: Show the free-body diagram of the shelf as in Figure 1. Using Figure 1, Moment about point F : Determine the force in the member FD by taking the moment about point F . ∑ M F = 0 5 ( 4 ) − F F D cos 30 ° ( 2 ) = 0 (I) Along the vertical direction: Determine the vertical reaction at point F by resolving the vertical component of forces. ∑ F y = 0 F y − 5 − F F D sin 30 ° = 0 (II) Along the horizontal direction: Determine the horizontal reaction at point F by resolving the horizontal component of forces. ∑ F x = 0 F F D cos 30 ° − F x = 0 (III) Conclusion: Solve Equation (I). 20 − F F D cos 30 ° ( 2 ) = 0 F F D = 20 2 × cos 30 ° F F D = 11.55 lb Substitute 11.55 lb for F F D in Equation (II). F y − 5 − 11.55 sin 30 ° = 0 F y = 10

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

See similar textbooks

Question

Chapter 6.6, Problem 104P

To determine

The stretch in the spring necessary to hold the shelf in the equilibrium position.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.6, Problem 103P

Chapter 6.6, Problem 105P

Students have asked these similar questions

The elastic bar from Problem 1 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω2x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement d u(x) is governed by the following equations: dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L. Determine: 1. Appropriate BCs for this physical problem. 2. The displacement function u(x). 3. The stress function σ(x). SIDE QUESTION: I saw a tutor solve it before but I didn't understand why the tutor did not divide E under the second term (c1x) before finding u(x). The tutor only divided E under first term. please explain and thank you

calculate the total power required to go 80 mph in a VW Type 2 Samba Bus weighing 2310 lbs. with a Cd of 0.35 and a frontal area of 30ft^2. Consider the coefficient of rolling resistance to be 0.018. What is the increase in power required to go the same speed if the weight is increased by 2205 pounds (the rated carrying capacity of the vehicle). If the rated power for the vehicle is 49 bhp, will the van be able to reach 80 mph at full carrying capacity?

A distillation column with a total of 13 actual stages (including a partial condenser) is used to perform a separation which requires 7 ideal stages. Calculate the overall column efficiency, and report your answer in %

Chapter 6 Solutions

Engineering Mechanics: Statics

Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 3FP Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 1P Ch. 6.3 - Prob. 2P Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...

Knowledge Booster