Wedge Sample Problem The two 20kN blocks are pushed apart by the 15⁰ wedge of negligible weight. The angle of static friction is 120 on all contact surfaces. Determine the force P required to start the blocks moving. P 20KN 150150 20kN R
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- How many turns of rope around the capstan are needed for the 40-lb force to resist the 8000-lb pull of a docked ship? The static coefficient of friction between the capstan and the rope is 0.25.consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?O Week6 Friction_21-22.pdf ds/Week6_Friction_21-22.pdf 4. The mine car and its contents have a total mass of 6000kg and a centre of gravity at G. If the coefficient of static friction 10 kN Doo→ between the wheels and the 0.9 m • G tracks is u = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear /0.15 m A 0.6 m 1.5 m- wheels at A when the brakes at both A and B are locked. Does the car move? [Ans. NA = 16.5 kN, Ng =42.3 kN, the car does not move] ily TWO WAY POWER 09889 NO MODE SETUP
- In-1' 16+29 CHAPTER ENGINEERS MECHANICS STATICS り」 arc ( 24 X(x Sample Problem 6.4.2 JQ) aX9 142 i JA V4 TuS 31 An 800 N-m couple is applied to the flywheel as shown. The coefficient of belt friction is 0.20. The minimum force P required to prevent rotation of the flywheel is applied. 800 N.m dre 2.R 1. Which Tension is larger, TA or TB? Explain 2. What is the angle of contact in radians? 60 3. What is the value of the ratio TA/TB? A B X*ッー Sin=d 6+ミ 2(I+(T Tarc (2) 4)e Eら、1.2 J =3.A W = 58 lb block is pushed with a force that is defined by the equation F = (50+ s²) lb. The coefficient of kinetic friction of the block and surface is μ = 0.2. The spring is initially unstretched/uncompressed. s = 1 ft. F = f(s) k Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value lb ft 01 30 degrees Using equations of motion in rectangular coordinates and principle of work and energy, N (s) = P = 16 Vfinal = The block is initially at rest. At the instant, the block has moved a distance of a. Find an equation for the normal reaction between the block and surface as a function of s, N(s). b. Determine final velocity of the block, Vfinal. c. Determine the power developed by the force at the instant, P, in horsepower. m Round your final answers to 3 significant digits/figures. Round your coefficients in equations to 3 significant digits/figures. lb S hp k ft SThe 500KN block shown is in contact with a 45°incline. The w coefficient of friction is 0.25. Determine the horizontal force P necessary to 1.Just start the block up the 45° incline 2.Just to prevent the motion down the incline. 3.lf P=400KN, what is the amount and direction of friction force?
- For a short period of time, a m = 3400 kg truck has a frictional driving force of FD= (650- +²) N acting on the wheels, where t is in seconds. At t = 0, the truck has a speed of of v₁. V₁ t = 0 21 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value m 5- s v2 = m Using the Principle of Linear Impulse and Momentum, a. Determine the speed of the truck when t = 3 s, v2. FD = f(t) Round your final answers to 3 significant digits/figures. m S V₂ t2The figure shows a pair of pin-jointed gripper-tongs holding an object weighing 2000 N. The coefficient of friction (u) at the gripping surface is 0.1. XX is the line of action of the input force and YY is the line of application of gripping force. If the pin- joint is assumed to be frictionless, the magnitude of force Frequired to hold the weight is F Pin Y- 2000 N 150mm ww 00Blocks A and B have a mass MA and MB, respectively. If the coefficient of static friction between A and B and between B and Cis ps and between the ropes and the pegs D and E ps, determine the smallest force F needed to cause motion of block B . Units Used: kN =103 N Given: ?=45deg s =0.25 MA =100 kg ps = 0.5 MB =150 kg P=30N g=9.81m/s2
- 30° 000 (008) 01 noilules MX03-1 M38=24 3. A in the figure shown, the homogeneous block weighs 300 KN and the coefficient of friction is 0.40. Determine the force P and h to cause motion to impend. P 4 W PANDA SA 03+008 N200 N A block placed under the head, of the claw hammer as shown greatly facilitates the extraction of the nail. If the 200-N 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 200 mm 20 45 mm prevent slipping 1. 50- |Imm L->SELF-CHECK EXERCISE PROBLEM 02. A uniform rigid bar which weighs 1000KN/m is supported by a cable at point B, a rough surface horizontal floor at point A, and a corner edge of a rough surface wall at point C. If the coefficient of static friction on all contact surfaces is 0.10, determine the reaction at the supports of the uniform rigid bar. Neglect the weight of the cable. Figure, 3m 3m 2m E P = 1KN 2m ACHINE wall cable D 6m uniform rigid bar B A