Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.2, Problem 28P
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1. The truss shown is supported by hinge at A and cable at E.Given: H = 4m, S = 1.5 m, α = 75⁰, θ = 33⁰.Allowable tensile stress in cable = 64 MPa.Allowable compressive stress in all members = 120 MPaAllowable tensile stress in all members = 180 MPa1.Calculate the maximum permissible P, in kN, if the diameter of the cable is 20 mm.2.If P = 40 kN, calculate the required area (mm2) of member BC.3. If members have solid square section, with dimension 15 mm, calculate the maximum permissible P (kN) based on the allowable strength of member HI.ANSWERS: (1) 45.6 kN; (2) 83.71 mm2; (3) 171.76 kN
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2: A wire 4 meters long is stretched horizontally between points 4 meters apart. The wire is 25 mm2 in cross-section with a modulus of elasticity of 200 GPa. A load W placed at the center of the wire produces a sag Δ.1.Calculate the tension (N) in the wire if sag Δ = 30 mm.2.Calculate the magnitude of W, in N, if sag Δ = 54.3 mm.3. If W is 60 N, what is the sag (in mm)?ANSWERS: (1) 562 N, (2) 100 N, (3) 45.8 N
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4 : A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown. The cable has tensile force T and is attached at C. The length of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness t = 12 mm. The pole pivots about a pin at A. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. The diameter of the cable is 8 mm.1.Find the minimum diameter (mm) of the pin at A to support the weight of the pole in the position shown.2.Calculate the elongation (mm) of the cable CD.3.Calculate the vertical displacement of point C, in mm.ANSWERS: (1) 6 mm, (2) 1.186 mm, (3) 1.337 mm--
Chapter 19 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - The 60-kg wheel has a radius of gyration about its...Ch. 19.2 - Prob. 2FPCh. 19.2 - Prob. 3FPCh. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - Prob. 6FPCh. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - Prob. 2P
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - Prob. 5PCh. 19.2 - Prob. 6PCh. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - Prob. 8PCh. 19.2 - Prob. 9PCh. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - The pulley has a weight of 10 lb and may be...Ch. 19.2 - Prob. 12PCh. 19.2 - Prob. 13PCh. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - Prob. 15PCh. 19.2 - Prob. 16PCh. 19.2 - Prob. 17PCh. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - Prob. 21PCh. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - Prob. 23PCh. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - Prob. 26PCh. 19.2 - Prob. 27PCh. 19.2 - Prob. 28PCh. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - Prob. 31PCh. 19.4 - Prob. 32PCh. 19.4 - Prob. 33PCh. 19.4 - Prob. 34PCh. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Prob. 41PCh. 19.4 - Prob. 42PCh. 19.4 - Prob. 43PCh. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Prob. 46PCh. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - Prob. 48PCh. 19.4 - The 20-kg disk strikes the step Without...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - Prob. 52PCh. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - Prob. 54PCh. 19.4 - Prob. 55PCh. 19.4 - Prob. 56PCh. 19.4 - Prob. 57PCh. 19.4 - Prob. 58PCh. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - Prob. 2RPCh. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - Prob. 4RPCh. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Prob. 6RPCh. 19.4 - Prob. 7RPCh. 19.4 - Prob. 8RP
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- 1. Derive an expression for H(w) filter or bandpass/reject filter. = for the circuit below. Qualitatively determine if it's a high/lowpass L ell R ww Voarrow_forward2. Obtain the transfer function, H(w) = 0 for the circuit below for R₁ = 1 kQ2, R2 = 10 kQ, and Vi C = 1 μF. What role, if any, does the capacitor play? Explain. R₁ R2 + C + Voarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE 3 (15 points): A 12-meter-long precast pile segment is to be lifted from a trailer down to the ground and then set in place prior to driving by a crane.1. If two slings are to be used in lifting the pile to the ground, at what distance from the ends must the slings be placed for minimum bending due to its own weight?2. At what distance from the ends must the slings be placed for minimum shear due to its own weight?3. Using one sling to set the pile in a vertical position before driving at what distance from one end must the sling be placed for minimum bending due to its own weight?ANSWERS: (1) 2.48 m, (2) 3.00 m, (3) 3.51 marrow_forward
- Consider blood flowing down an inclined plane. Derive an expression for the velocity profile assuming that blood follows the constitutive equation for a Casson fluid. You can either use a shell balance or the equation of motion in terms of shear stress as your starting point. What is the velocity at x = 0 and at x = xc?arrow_forwardBlood (HD = 0.45 in large diameter tubes) is forced through hollow fiber tubes that are 20 µm in diameter.Equating the volumetric flowrate expressions from (1) assuming marginal zone theory and (2) using an apparentviscosity for the blood, estimate the marginal zone thickness at this diameter. The viscosity of plasma is 1.2 cP.arrow_forwardhand-written solutions only please!arrow_forward
- A prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea- level air properties at a 1:5 scale. The measured model drag is 529 N, enforcing dynamic similarity. Determine (a) the drag force on the prototype and (b) the power required to overcome this drag. See the equation Vm m = D V Dm (a) Dp = i (b) Pp = i N hparrow_forwardA new blimp will move at 6 m/s in 20°C air, and we want to predict the drag force. Using a 1: 14-scale model in water at 20°C and measuring a 2500-N drag force on the model, determine (a) the required water velocity, (b) the drag on the prototype blimp and, (c) the power that will be required to propel it through the air. (a) Vm = i (b) Dp = i (c) Pp = i m/s N Warrow_forwardDrag measurements were taken for a sphere, with a diameter of 5 cm, moving at 3.7 m/s in water at 20°C. The resulting drag on the sphere was 10 N. For a balloon with 1-m diameter rising in air with standard temperature and pressure, determine (a) the velocity if Reynolds number similarity is enforced and (b) the drag force if the drag coefficient in the equation below is the dependent pi term. li ε pVI D 1 = CD = Q μ (a) Vp = i (b) Dp = i m/s Narrow_forward
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