VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
12th Edition
ISBN: 9781260265521
Author: BEER
Publisher: MCG
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Chapter 14.2, Problem 14.50P
Three small spheres A, B, C, each of mass m, are connected to a small ring D of negligible mall by means of three inextensible, inelastic cords of length l. The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed
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6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, and
b = 0.4 Ns/m.
(a) Assume zero initial condition, calculate the
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(ii)
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(iii) The time domain response
(b) Calculate the steady-state value of the system
b
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2. Solve the following linear time invariant differential equations using Laplace transforms subject to
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(a) y-y=t
for y(0) = 1 and y(0) = 1
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for y(0) = 1 and y(0) = 0
3. For the mechanical systems shown below, the springs are undeflected when x₁ = x2 = x3 = 0 and
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each of the systems.
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000
K₂
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B₂
B₁
(a)
fa(t)
M2
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000
B
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x1
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(b)
Chapter 14 Solutions
VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - Prob. 14.3PCh. 14.1 - Prob. 14.4PCh. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9. assuming...
Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three particles A, B, and C....Ch. 14.1 - For the system of particles of Prob. 14.13,...Ch. 14.1 - A 13-kg projectile is passing through the origin O...Ch. 14.1 - A 300-kg space vehicle traveling with a velocity...Ch. 14.1 - A 2-kg model rocket is launched vertically and...Ch. 14.1 - An 18-kg cannonball and a 12-kg cannonball are...Ch. 14.1 - Prob. 14.19PCh. 14.1 - Prob. 14.20PCh. 14.1 - An expert archer demonstrates his ability by...Ch. 14.1 - Two spheres, each of mass m, can slide freely on a...Ch. 14.1 - Prob. 14.23PCh. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - In a scattering experiment, an alpha particle A is...Ch. 14.1 - Derive the relation Ho=rmv+HG between the angular...Ch. 14.1 - Show that Eq. (14.23) may be derived directly from...Ch. 14.1 - Consider the frame of reference Ax'y'z' in...Ch. 14.1 - Show that the relation MA=HA where HA is defined...Ch. 14.2 - Determine the energy lost due to friction and the...Ch. 14.2 - Prob. 14.32PCh. 14.2 - In Prob. 14.6. determine the work done by the...Ch. 14.2 - Determine the energy lost as a result of the...Ch. 14.2 - Two automobiles A and B, of mass mA and mB,...Ch. 14.2 - It is assumed that each of the two automobiles...Ch. 14.2 - Solve Sample Prob. 14.5, assuming that cart A is...Ch. 14.2 - Ball B is suspended from a cord of length l...Ch. 14.2 - A 15-lb block B starts from rest and slides on the...Ch. 14.2 - A 40-lb block B is suspended from a 6-ft cord...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - Three spheres, each with a mass of m, can slide...Ch. 14.2 - In a game of pool, ball A is moving with the...Ch. 14.2 - The 2-kg sub-satellite B has an initial velocity...Ch. 14.2 - A 900-lb space vehicle traveling with a velocity...Ch. 14.2 - Four small disks A, B, C, and D can slide freely...Ch. 14.2 - In the scattering experiment of Prob. 14.26, it is...Ch. 14.2 - Prob. 14.49PCh. 14.2 - Three small spheres A, B, C, each of mass m, are...Ch. 14.2 - In a game of billiards, ball A is given an initial...Ch. 14.2 - For the game of billiards of Prob. 14.51, it is...Ch. 14.2 - Two small disks A and B of mass 3 kg and 1.5 kg,...Ch. 14.2 - Two small disks A and B of mass 2 kg and 1 kg,...Ch. 14.2 - Prob. 14.55PCh. 14.2 - Prob. 14.56PCh. 14.3 - A stream of water with a density of =1000kg/m3 is...Ch. 14.3 - A jet ski is placed in a channel and is tethered...Ch. 14.3 - Tree limbs and branches are being fed at A at the...Ch. 14.3 - The nozzle shown discharges water at the rate of...Ch. 14.3 - A rotary power plow is used to remove snow from a...Ch. 14.3 - A hose discharges water at a rate of 8 m3/min with...Ch. 14.3 - Sand falls from three hoppers onto a conveyor belt...Ch. 14.3 - The stream of water shown flows at a rate of 550...Ch. 14.3 - The nozzle shown discharges water at the rate of...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m/min...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m3/min...Ch. 14.3 - Prob. 14.68PCh. 14.3 - The total drag due to air friction on a jet...Ch. 14.3 - Prob. 14.70PCh. 14.3 - In order to shorten the distance required for...Ch. 14.3 - The helicopter shown can produce a maximum...Ch. 14.3 - Prior to takeoff, the pilot of a 3000-kg...Ch. 14.3 - The jet engine shown scoops in air at A at a rate...Ch. 14.3 - A jet airliner is cruising at a speed of 900 km/h...Ch. 14.3 - A 16-Mg jet airplane maintains a constant speed of...Ch. 14.3 - The propeller of a small airplane has a...Ch. 14.3 - The wind turbine generator shown has an...Ch. 14.3 - A wind turbine generator system having a diameter...Ch. 14.3 - While cruising in level flight at a speed of 570...Ch. 14.3 - In a Pelton-wheel turbine, a stream of water is...Ch. 14.3 - A circular reentrant orifice (also called Borda’s...Ch. 14.3 - A railroad car with length L and mass mg when...Ch. 14.3 - The depth of water flowing in a rectangular...Ch. 14.3 - Determine the rate of flow in the channel of Prob....Ch. 14.3 - A chain of length I and mass m lies in a pile on...Ch. 14.3 - Solve Prob. 14.86, assuming that the chain is...Ch. 14.3 - The ends of a chain lie in piles at A and C. When...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - The main propulsion system of a new space...Ch. 14.3 - The main propulsion system of a new space...Ch. 14.3 - A rocket sled bums fuel at the constant rate of...Ch. 14.3 - A space vehicle describing a circular orbit about...Ch. 14.3 - A 540-kg spacecraft is mounted on top of a rocket...Ch. 14.3 - The rocket used to launch the 540-kg spacecraft of...Ch. 14.3 - The weight of a spacecraft, including fuel, is...Ch. 14.3 - The rocket engines of a spacecraft are fired to...Ch. 14.3 - Determine the distance traveled by the spacecraft...Ch. 14.3 - A rocket weighs 2600 lb. including 2200 lb of...Ch. 14.3 - Determine the altitude reached by the spacecraft...Ch. 14.3 - For the spacecraft and the two-stage launching...Ch. 14.3 - In a jet airplane, the kinetic energy imparted to...Ch. 14.3 - In a rocket, the kinetic energy imparted to the...Ch. 14 - Three identical cars are being unloaded from an...Ch. 14 - A 50-kg mother and her 26-kg son are sledding down...Ch. 14 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 14 - In a game of pool, ball A is moving with a...Ch. 14 - Mass C, which has a mass of 4 kg, is suspended...Ch. 14 - A 15-lb block B is at rest and a spring of...Ch. 14 - A 6000-kg dump truck has a 1500-kg stone block...Ch. 14 - For the ceiling-mounted fan shown, determine the...Ch. 14 - An airplane with a weight W and a total wing span...Ch. 14 - The final component of a conveyor system receives...Ch. 14 - A garden sprinkler has four rotating arms, each of...Ch. 14 - A chain of length I and mass m falls through a...
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