Statics_Tutorial_5_Solution (1)

Each problem requires a proper FBD and separate kinematic diagram. 1. The wheel has a weight of 20 lb and a radius of gyration of kg = 0.75 ft. If the coefficients of static and kinetic friction between the wheel and the surface are 4 = 0.5 and 4 = 0.35, find the greatest angle, 0 , that the slope can have without the wheel slipping. 1.25 ft-

A block placed under the head of the claw hammer as shown greatly facilitates the extraction of the nail. If a  40-lb pull on the handle is required to pull the nail, calculate the tension T in the nail and the magnitude A of the force exerted by the hammer head on the block. The contacting surfaces at A are sufficiently rough to prevent slipping. T=? Lb.   A=?Lb.

What is the magnitude of the reaction force, RCY and RCZ in newtons What is the magnitude of the reaction force, RBZ and RBX in Newtons. What is the magnitude of the reaction force, RAX and RAZ in Newtons.

8. Fig. 8 shows a simple aircraft landing gear, consisting of a spring and hydraulically loaded piston and cylinder D and the two pivoted links OB and CB. If the assembly is moving along the runway at a constant speed with the wheel supporting a stabilised constant load of 24 kN, calculate the total force that the pin at A supports. [Ans: 44.7 kN] Fig. 8 D 700 mm O B 30° 250 mm 250 mm

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The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M, is applied to the wheel in the direction shown. Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link- AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in isolation, the link-AB is a two-force member.) Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters) b) The maximum friction force, Fmax (in Newtons). c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons). d) The force of the link-AB on the wheel, FAB (in Newtons). B 150 mm M 250 mm A

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The horizontal force P acts on the rim of the homogeneous cylinder of radius R and weight W. Determine the smallest coefficient of static friction that enables the cylinder to start rolling up the 30◦ incline.

2. Find the horizontal force P to start the motion of any part of the system of three blocks resting upon one another as shown. The weight of the blocks are W-300 KN, Ws= 100 KN and Wc =200 KN. Between A and B μ=0.30, between C and B, μ =0.20 and between C and the ground, p=0.10. 1 sni brod nog 02.0-4 B C 05.0-4 Solution: tamos quoy worla bre sosia asquar 005 300 en of jells400 N₁-300 F3 N-300- N₂=300 Assuming B and C will not move. F₁ = 300 (0.30) F₁ = 90 kN ne à bns A zelboß 1 P = 90 kN es ensla berb hebnu 02.0- y elin 05.0= q V in Celpris orllanimetsa MX 008 Assuming C will not move: al 1st F2=400 (0.20) = 80 kN OTE Bm ribirte F₂ vica Assuming the three blocks move: F3 = 0.10 (600) F3 = 60 kN P=60 KN Least force is 60 kN.

Chapter 3, Reserve Problem 3/015 GO Tutorial The rack for storing automobile wheels consists of two parallel rods A and B. Determine the magnitude of the force P required to begin extracting the wheel. The mass of the wheel is m. Neglect all friction. m 45° 31° 52 B Answer: P - mg the tolerance is +/-2%

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