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
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Textbook Question
Chapter 12.1, Problem 12.48P
A spherical-cap governor is fixed to a vertical shaft that rotates with angular velocity
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A Proell governor has equal arms of length 320 mm. The upper and lower ends of the
arms are pivoted on the axis of the governor. The extension arms of the lower links are
each 50 mm long and parallel to the axis when the radii of rotation of the balls are
150 mm and 200 mm. The mass of each ball is 10 kg and the mass of the central load
is 80 kg.
Determine the range of speed of the governor.
O. Calculate the minimum speed
of a Proell governor, which has
equal arms each 200 mm and are
pivoted on the axis of rotation.
The mass of each ball is 4 kg and
the central mass on the sleeve is
20 kg. The extension arms of the
lower links are each 60 mm long
and parallel to the axis when the
minimum radius of the ball is 200
mm.
A flywheel and shaft together have a mass of 800 kg. The combined mass has a radius of gyration of 400 mm. An accelerating torque of 10 N m is applied to the stationary flywheel for 100 s. There is a constant resisting torque due to friction of 2 N m. Determine
(a) the angular acceleration,
(b) the angular velocity of the flywheel after 100 s (in RPM)
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...
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