Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12.2, Problem 12.87P
To determine
The increase in speed required at B at given condition.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider a satellite around Earth in an elliptic orbit. At a point in its orbit, the radius (in km) from the
center of the Earth is varying with time as r(t) = 7000 - 0.54 t (with t in seconds). The angular rate is
0 (t) = 1.02 x 10³ rad/s. What is the magnitude of acceleration (in m/s²) at t = 0.
During lecture we discussed that an elliptical orbit is not necessarily helpful to escapeEarth, and we said we would not investigate that further (but you are welcome on yourown).However, it is useful to investigate the radius of the “best” (ie, lowest Δv) circular parkingorbit. For this problem consider the following “steps” to Escape Earth:1. A Hohmann transfer from the surface to the parking orbit (i.e., 2 Δv’s).Assumptions:a. launch exactly from the equator with zero velocity relative to thegroundb. there is no atmosphere, mountains, obstacles, etc - the Δv canhappen in the tangential direction from the groundc. Simplify for now and use the Earth rotation = 1 revolution in 24hours2. A Δv from the parking orbit to escape Earth3. The target velocity is exactly vesc (i.e., there is no v∞ for a specificdestination, we just want to escape Earth)For all Δv’s you can ignore the direction, only consider magnitude.a. Develop an equation (or function in Matlab or a spreadsheet) which takes…
I’m stuck on this problem. Please help with all parts especially starting with Newton’s law and sketching the situation. THANK YOU
Chapter 12 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 12.1 - A 1000-Ib boulder B is resting on a 200-Ib...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 - Prob. 12.CQ4PCh. 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 - Prob. 12.F2PCh. 12.1 - Objects A, B, and C have masses mA, mB, and...Ch. 12.1 - Blocks A and B have masses mAand mB, my...Ch. 12.1 - Blocks A and B have masses mAand mB, my...
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 - Four pins slide in four separate slots cut in a...Ch. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Prob. 12.F11PCh. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Astronauts who landed on the moon during the...Ch. 12.1 - The value of g at any latitude o may be obtained...Ch. 12.1 - A 400-kg satellite has been placed in a circular...Ch. 12.1 - A spring scale A and a lever scale B having equal...Ch. 12.1 - In anticipation of a ling 7° upgrade, a bus driver...Ch. 12.1 - A 0.2-Ib model rocket is launched vertically from...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - If an automobile’s braking distance from 90km/h is...Ch. 12.1 - A mother and her child are skiing together, and...Ch. 12.1 - The coefficients of friction the load and the...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - Each of the systems shown is initially at rest....Ch. 12.1 - Boxes A and B are at rest on a conveyor belt that...Ch. 12.1 - A 5000-1b truck is being used to lift a 1000-1b...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 - Prob. 12.20PCh. 12.1 - Prob. 12.21PCh. 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 - Prob. 12.24PCh. 12.1 - Prob. 12.25PCh. 12.1 - Prob. 12.26PCh. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Prob. 12.28PCh. 12.1 - Prob. 12.29PCh. 12.1 - An athlete pulls handle A to the left with a...Ch. 12.1 - A 10-Ib block B rests as shown on a 20-1b bracket...Ch. 12.1 - Prob. 12.32PCh. 12.1 - Knowing that k=0.30 , determine the acceleration...Ch. 12.1 - A 25-kg block A rests on an inclined surface, and...Ch. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - A 450-g tetherball A is moving along a horizontal...Ch. 12.1 - During a hammer throwers practice swings. The...Ch. 12.1 - Prob. 12.38PCh. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Two wires AC and BC are tied at C to a sphere that...Ch. 12.1 - A 1-kg sphere is at rest relative to parabolic...Ch. 12.1 - Prob. 12.42PCh. 12.1 - The 1.2-Ib flyballs of a centrifugal governor...Ch. 12.1 - A 130-ib wrecking ball B is attached to a...Ch. 12.1 - During a high-speed chase, a 2400-Ib 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 - A 54-kg pilot flies a jet trainer in a...Ch. 12.1 - A carnival ride is designed to allow the general...Ch. 12.1 - Prob. 12.52PCh. 12.1 - Prob. 12.53PCh. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - A polisher is started so that the fleece along the...Ch. 12.1 - Prob. 12.57PCh. 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 - Prob. 12.61PCh. 12.1 - Prob. 12.62PCh. 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 allows...Ch. 12.1 - Prob. 12.67PCh. 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 - The two blocks are released from rest when r=0.8 m...Ch. 12.1 - Prob. 12.72PCh. 12.1 - Slider C has a weight of 0.5 Ib and may move in a...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - For the particle of Prob. 12.74, show (a) that the...Ch. 12.2 - Prob. 12.76PCh. 12.2 - For the particle of Prob. 12.76, determine the...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Prob. 12.79PCh. 12.2 - Prob. 12.80PCh. 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 - Prob. 12.85PCh. 12.2 - Prob. 12.86PCh. 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 - A 1-Ib ball A and a 2-Ib ball B are mounted on a...Ch. 12.2 - Two 2.6-Ib 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 m is being transported...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - A particle of mass m is projected from point A...Ch. 12.3 - A particle of mass m describes the logarithmic...Ch. 12.3 - Prob. 12.96PCh. 12.3 - Prob. 12.97PCh. 12.3 - Prob. 12.98PCh. 12.3 - It was observed that during the Galileo...Ch. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - Prob. 12.102PCh. 12.3 - Prob. 12.103PCh. 12.3 - A satellite describes a circular orbit at an...Ch. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - Prob. 12.106PCh. 12.3 - Prob. 12.107PCh. 12.3 - Prob. 12.108PCh. 12.3 - Prob. 12.109PCh. 12.3 - Prob. 12.110PCh. 12.3 - Prob. 12.111PCh. 12.3 - Prob. 12.112PCh. 12.3 - Prob. 12.113PCh. 12.3 - Prob. 12.114PCh. 12.3 - Prob. 12.115PCh. 12.3 - Prob. 12.116PCh. 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 - Prob. 12.124RPCh. 12 - Prob. 12.125RPCh. 12 - The roller-coaster track shown is contained in a...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 - Prob. 12.130RPCh. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Can you please help me just with D, F,G harrow_forward8.11 Estimate the total delta-v requirement for a Hohmann transfer from earth to Mercury, assuming a 150-km-altitude circular parking orbit at earth and a 150-km circular capture orbit at Mercury. Furthermore, assume that the planets have coplanar circular orbits with radii equal to the semimajor axes listed in Table A.1. {Ans.: 13.08 km/s}arrow_forwardA satellite is to travel from the Earth to Mars using a Hohmann transfer. 1. Calculate the semi-major axis of the transfer orbit. Using the Vis-Viva equation compute the heliocentric velocity of the satellite as it reaches Mars. 2. The spacecraft is adjusted so that it will pass within $300$ $km$ of the surface of Mars just behind of it in its orbit. Calculate the eccentricity of the hyperbolic passage and hence the half turn angle $\delta$. **[20 points]** 3. The approach of the spacecraft is on the sunward side of Mars. Compute the heliocentric velocity of the spacecraft when it exits Mars' sphere of influence. 4. A Hohmann transfer requires a long transfer time. Propose a method to reduce the transfer time to reach Mars and outline the procedure that you would use to compute the radial and transverse velocity at Mars arrival. Relevant Data Sun gravitational parameter us = 1.327×10¹¹ km³ s¯ -2 = Mars gravitational parameter μM Mars orbital radius r = 2.279×108 km Radius of Mars RM -…arrow_forward
- The new position is r = 6867.3(xhat) + 398.8(yhat). The answer to the first problem would be theta = arctan(398.8/6867.3) = 0.058 degrees. But how do you know how much the line of nodes, which is the new position as show in the diagram, should have rotated for a true sun-synchronoous orbit? What is the formula? What are some reasons why there would be any discrepancy between the estimated angle and the actual angle?arrow_forwardChannel AB is fixed in space, and its centerline lies in the xy plane. The plane containing edges AC and AD of the channel is parallel to the xz plane. The surfaces of the channel are frictionless and the sphere E has 1.9 kg mass. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. N N E 30° x F 20° B ᎠᏓ C 30°/A 30° Determine the force supported by cord EF, and the reactions RC and RD between the sphere and sides C and D, respectively, of the channel. (Round the final answers to four decimal places.) The force supported by cord EF is The reactions RC and Rp between the sphere and sides Cand D. respectively, of the channel are as follows: RC= RD= z N. 4arrow_forwardM XCM M A binary system is shown by the image above. It consists of two stars of equal mass. These stars revolve in a circular orbit about thgeir center of mass, which is midway between them. If the orbital speed of each star is 2,280 km/s and the orbital period of each is 11.7 days. Find the mass M of each star.arrow_forward
- 37. The International Space Station (ISS), mass 419000 kg, orbits Earth at altitude 390 km. However, over the course of several months its altitude will “decay” and decrease by 10 km due to drag with Earth’s atmosphere. Rocket thrusters firing continuously for 2.0 orbits are used to boost the ISS back to the correct orbit. (a) Determine the “delta-v” (change in speed) associated with an increase in altitude of 10 km (assuming circular orbits at each altitude). (b) Determine the amount of thrust necessary for the boost – you can treat the situation like pushing an object up a ramp that is 10 km high and two orbits long (ignore drag).arrow_forwardA skydiver jumps from a height of 4000 m. After 55 seconds, he reaches the terminal speed of 200 km/h. At 58 seconds, his acceleration isarrow_forwardEquations for the conservation of energy must be used, the speed that bodies of mass m1 and m2 have after they have traveled a distance "d". Consider the pulley with mass M and radius R. The masses are the same and the angles are different. arrow_forward
- can you pls also draw a picture/representation of the scenario described? Thanks so much!arrow_forwardA satellite is in a circular earth orbit of radius min = 1.66R, where R is the radius of the earth. What is the minimum velocity boost Av necessary to reach point B, which is a distance max = 3.94R from the center of the earth? At what point in the original circular orbit should the velocity increment be added? CO Answer: Av = i max m/sarrow_forwardwe have a non-rotating space station in the shape of a long thin uniform rod of mass 2.95 x 10^6 kg and length 710 meters. Small probes of mass 5178 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 4318 m/s with respect to the launch points, which are each located 199 m from the center of the rod. After 17 pairs of probes have launched, how fast will the station be spinning? a. 16.32 rpm b. 4.90 rpm c. 11.66 rpm d. 8.16 rpmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY