Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9781259639272
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 12.3, Problem 12.99P
To determine
Find the maximum velocity of Galileo during its first flyby of the earth.
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Problem 3: The inertia matrix can be written in dyadic form which is particularly useful
when inertia information is required in various vector bases. On the next page is a right
rectangular pyramid of total mass m. Note the location of point Q.
(a) Determine the inertia dyadic for the pyramid P, relative to point Q, i.e., 7%, for unit
vectors ₁₁, 2, 3.
Can you solve for v? Also, what is A x u
The external loads on the element shown below at the free end are F = 1.75 kN, P = 9.0
kN, and T = 72 Nm.
The tube's outer diameter is 50 mm and the inner diameter is 45 mm.
Given: A(the cross-sectional area) is 3.73 cm², Moment inertial I is 10.55 cm4, and J
polar moment inertial is 21.1 cm4.
Determine the following.
(1) The critical element(s) of the bar.
(2) Show the state of stress on a stress element for each critical element.
-120 mm-
F
Chapter 12 Solutions
Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
Ch. 12.1 - A 1000-lb boulder B is resting on a 200-lb...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Blocks A and B are released from rest in the...Ch. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Two blocks weighing WA and WB are at rest on a...Ch. 12.1 - Objects A, B, and C have masses mA, mB, and mC,...Ch. 12.1 - Prob. 12.4FBPCh. 12.1 - Blocks A and B have masses mA and mB,...
Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Prob. 12.9FBPCh. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Disk A rotates in a horizontal plane about a...Ch. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Prob. 12.1PCh. 12.1 - Prob. 12.2PCh. 12.1 - Prob. 12.3PCh. 12.1 - Prob. 12.4PCh. 12.1 - Prob. 12.5PCh. 12.1 - Prob. 12.6PCh. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - Prob. 12.8PCh. 12.1 - 12.9 If an automobile’s braking distance from 90...Ch. 12.1 - Prob. 12.10PCh. 12.1 - The coefficients of friction between the load and...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - Prob. 12.13PCh. 12.1 - Prob. 12.14PCh. 12.1 - Prob. 12.15PCh. 12.1 - Prob. 12.16PCh. 12.1 - A 5000-lb truck is being used to lift a 1000-lb...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - The flat-bed trailer carries two 1500-kg beams...Ch. 12.1 - 12.21 A baggage conveyor is used to unload luggage...Ch. 12.1 - To unload a bound stack of plywood from a truck,...Ch. 12.1 - To transport a series of bundles of shingles A to...Ch. 12.1 - An airplane has a mass of 25 Mg and its engines...Ch. 12.1 - Prob. 12.25PCh. 12.1 - A constant force P is applied to a piston and rod...Ch. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Block A has a mass of 10 kg, and blocks B and C...Ch. 12.1 - Prob. 12.29PCh. 12.1 - Prob. 12.30PCh. 12.1 - A 10-lb block B rests as shown on a 20-lb bracket...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - Prob. 12.34PCh. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - Prob. 12.36PCh. 12.1 - Prob. 12.37PCh. 12.1 - Human centrifuges are often used to simulate...Ch. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Prob. 12.41PCh. 12.1 - Prob. 12.42PCh. 12.1 - Prob. 12.43PCh. 12.1 - Prob. 12.44PCh. 12.1 - During a high-speed chase, a 2400-lb sports car...Ch. 12.1 - An airline pilot climbs to a new flight level...Ch. 12.1 - The roller-coaster track shown is contained in a...Ch. 12.1 - A spherical-cap governor is fixed to a vertical...Ch. 12.1 - A series of small packages, each with a mass of...Ch. 12.1 - 12.50 A 54-kg pilot flies a jet trainer in a...Ch. 12.1 - Prob. 12.51PCh. 12.1 - A curve in a speed track has a radius of 1000 ft...Ch. 12.1 - Tilting trains, such as the Acela Express that...Ch. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - Prob. 12.56PCh. 12.1 - A turntable A is built into a stage for use in a...Ch. 12.1 - The carnival ride from Prob. 12.51 is modified so...Ch. 12.1 - Prob. 12.59PCh. 12.1 - Prob. 12.60PCh. 12.1 - A small block B fits inside a slot cut in arm OA...Ch. 12.1 - The parallel-link mechanism ABCD is used to...Ch. 12.1 - Prob. 12.63PCh. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - An advanced spatial disorientation trainer is...Ch. 12.1 - The 3-kg collar B slides on the frictionless arm...Ch. 12.1 - A 0.5-kg block B slides without friction inside a...Ch. 12.1 - Pin B weighs 4 oz and is free to slide in a...Ch. 12.1 - Prob. 12.71PCh. 12.1 - Prob. 12.72PCh. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Show that the radius r of the moons orbit can be...Ch. 12.2 - Communication satellites are placed in a...Ch. 12.2 - Prob. 12.81PCh. 12.2 - The orbit of the planet Venus is nearly circular...Ch. 12.2 - A satellite is placed into a circular orbit about...Ch. 12.2 - The periodic time (see Prob. 12.83) of an earth...Ch. 12.2 - A 500-kg spacecraft first is placed into a...Ch. 12.2 - A space vehicle is in a circular orbit of 2200-km...Ch. 12.2 - Prob. 12.87PCh. 12.2 - Prob. 12.88PCh. 12.2 - Prob. 12.89PCh. 12.2 - A 1-kg collar can slide on a horizontal rod that...Ch. 12.2 - Two 2.6-lb collars A and B can slide without...Ch. 12.2 - A small ball swings in a horizontal circle at the...Ch. 12.3 - A uniform crate C with mass mC is being...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - Prob. 12.94PCh. 12.3 - Prob. 12.95PCh. 12.3 - A particle with a mass m describes the path...Ch. 12.3 - A particle of mass m describes the parabola y =...Ch. 12.3 - Prob. 12.98PCh. 12.3 - Prob. 12.99PCh. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.103PCh. 12.3 - Prob. 12.104PCh. 12.3 - Prob. 12.105PCh. 12.3 - Halleys comet travels in an elongated elliptic...Ch. 12.3 - Prob. 12.109PCh. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - The Clementine spacecraft described an elliptic...Ch. 12.3 - A space probe is describing a circular orbit of...Ch. 12.3 - Prob. 12.115PCh. 12.3 - A space shuttle is describing a circular orbit at...Ch. 12.3 - Prob. 12.117PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.119PCh. 12.3 - Prob. 12.120PCh. 12.3 - Show that the angular momentum per unit mass h of...Ch. 12 - In the braking test of a sports car, its velocity...Ch. 12 - A bucket is attached to a rope of length L = 1.2 m...Ch. 12 - A 500-lb crate B is suspended from a cable...Ch. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - Prob. 12.128RPCh. 12 - Telemetry technology is used to quantify kinematic...Ch. 12 - The radius of the orbit of a moon of a given...Ch. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
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- A crate weighs 530 lb and is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 42 in above the top of the crate directly over the geometric center of the top surface. Use the dimensions given in the table below to determine the tension in each of the three ropes. 2013 Michael Swanbom ↑ Z C BY NC SA b x B у D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 30 in b 43 in с 4.5 in The tension in rope AB is lb The tension in rope AC is lb The tension in rope AD is lbarrow_forwardThe airplane weighs 144100 lbs and flies at constant speed and trajectory given by 0 on the figure. The plane experiences a drag force of 73620 lbs. a.) If = 11.3°, determine the thrust and lift forces required to maintain this speed and trajectory. b.) Next consider the case where is unknown, but it is known that the lift force is equal to 7.8 times the quantity (Fthrust Fdrag). Compute the resulting trajectory angle - and the lift force in this case. Use the same values for the weight and drag forces as you used for part a. Уллу Fdrag 10. Ө Fthrust cc 10 2013 Michael Swanbom BY NC SA Flift Fweight The lift force acts in the y' direction. The weight acts in the negative y direction. The thrust and drag forces act in the positive and negative x' directions respectively. Part (a) The thrust force is equal to lbs. The lift force is equal to Part (b) The trajectory angle is equal to deg. The lift force is equal to lbs. lbs.arrow_forwardThe hoist consists of a single rope and an arrangement of frictionless pulleys as shown. If the angle 0 = 59°, determine the force that must be applied to the rope, Frope, to lift a load of 4.4 kN. The three-pulley and hook assembly at the center of the system has a mass of 22.5 kg with a center of mass that lies on the line of action of the force applied to the hook. e ΘΕ B CC 10 BY NC SA 2013 Michael Swanbom Fhook Note the figure may not be to scale. Frope = KN HO Fropearrow_forward
- Determine the tension developed in cables AB and AC and the force developed along strut AD for equilibrium of the 400-lb crate. x. 5.5 ft C 2 ft Z 2 ft D 6 ft B 4 ft A 2.5 ftarrow_forwardA block of mass m hangs from the end of bar AB that is 7.2 meters long and connected to the wall in the xz plane. The bar is supported at A by a ball joint such that it carries only a compressive force along its axis. The bar is supported at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. Cable BD is elastic and can be modeled as a linear spring with a spring constant k = 400 N/m and unstretched length of 6.34 meters. Determine the mass m, the compressive force in beam AB and the tension force in cable BC. Z D (c, 0, d) C (a, 0, b), A e B y f m BY NC SA x 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 8.1 m b 3.3 m C 2.7 m d 3.9 m e 2 m f 5.4 m The mass of the block is The compressive force in bar AB is The tension in cable S is N. kg.arrow_forwardTwo squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2 lb. The squirrel at B found less food this season and has a weight of 0.8 lb. The angles 0 and > are equal to 50° and 60° respectively. Determine the tension force in each of the rope segments (T₁ in segment, T₂ in segment Я, and T3 in segment DD) as well as the angle a in degrees. Ө A α B Note the figure may not be to scale. T₁ = lb lb T2 T3 = = lb απ deg A BY NC SA 2013 Michael Swanbomarrow_forward
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