Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
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Question
Chapter 17, Problem 17.145RP
To determine
(a)
Velocity of mass center of ball when it is at the bottom of the ramp.
To determine
(b)
Velocity of mass center of ball when it is rolled on the lane.
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For a technology project, a student has built a vehicle, of total mass 6.00 kg, that moves itself. As shown, it runs on four light wheels. A reel is attached to one of the axles, and a cord originally wound on the reel goes up over a pulley attached to the vehicle to support an elevated load. After the vehicle is released from rest, the load descends very slowly, unwinding the cord to turn the axle and make the vehicle move forward (to the left as shown). Friction is negligible in the pulley and axle bearings. The wheels do not slip on the floor. The reel has been constructed with a conical shape so that the load descends at a constant low speed while the vehicle moves horizontally across the floor with constant acceleration, reaching a final velocity of 3.00î m/s. (a) Does the floor impart impulse to the vehicle? If so, how much? (b) Does the floor do work on the vehicle? If so, how much? (c) Does it make sense to say that the final momentum of the vehicle came from the floor? If…
A solid sphere starts from rest at a height of 2.5 meters.
rolls down a ramp without slipping, so no friction.
The mass of the sphere is 2 kg.
It
The radius of the sphere is 0.02 m
The moment of Inertia of a sphere is: I = (2/5)mr²
) Compute the change in gravitational potential energy
when the ball rolls from the top to the bottom of the ramp.
Use conservation of energy to compute the angular
velocity, oo, in radians/s and the linear velocity in m/s at the
end of the ramp.
h1
Please don't provide handwritten solution .....
Chapter 17 Solutions
Vector Mechanics For Engineers
Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.CQ2PCh. 17.1 - Prob. 17.CQ3PCh. 17.1 - Prob. 17.CQ4PCh. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300 N...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Two uniform disks of the same material are...Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P
Ch. 17.1 - Prob. 17.6PCh. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - Prob. 17.9PCh. 17.1 - Prob. 17.10PCh. 17.1 - Each of the gears A and B has a mass of 10 kg and...Ch. 17.1 - Solve Prob. 17.11, assuming that the 6 N m couple...Ch. 17.1 - The gear train shown consists of four gears of the...Ch. 17.1 - Prob. 17.14PCh. 17.1 - Prob. 17.15PCh. 17.1 - Prob. 17.16PCh. 17.1 - The 15-kg rear hatch of a vehicle opens as shown...Ch. 17.1 - A slender 9-lb rod can rotate in a vertical plane...Ch. 17.1 - Prob. 17.19PCh. 17.1 - Prob. 17.20PCh. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - Prob. 17.22PCh. 17.1 - Prob. 17.23PCh. 17.1 - The 30-kg turbine disk has a centroidal radius of...Ch. 17.1 - A 100-kg solid cylindrical disk, 800 mm in...Ch. 17.1 - Prob. 17.26PCh. 17.1 - Prob. 17.27PCh. 17.1 - Prob. 17.28PCh. 17.1 - Prob. 17.29PCh. 17.1 - A half-cylinder with mass m and radius r is...Ch. 17.1 - Prob. 17.31PCh. 17.1 - Two uniform cylinders, each of weight W=14 lb and...Ch. 17.1 - Two uniform cylinders, each of weight W=14 lb and...Ch. 17.1 - A bar of mass m=5 kg is held as shown between four...Ch. 17.1 - The 1.5-kg uniform slender bar AB is connected to...Ch. 17.1 - Prob. 17.36PCh. 17.1 - A 5-m-long ladder has a mass of 15 kg and is...Ch. 17.1 - Prob. 17.38PCh. 17.1 - Prob. 17.39PCh. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - Each of the two rods shown is of length L=1 m and...Ch. 17.1 - The 4-kg rod AB is attached to a collar of...Ch. 17.1 - If in Prob. 17.43 the angular velocity of the...Ch. 17.1 - The uniform rods AB and BC are of mass 3 kg and 8...Ch. 17.1 - The uniform rods AB and BC weigh 2.4 kg and 4 kg,...Ch. 17.1 - The 80-mm-radius gear shown has a mass of 5 kg and...Ch. 17.1 - Prob. 17.48PCh. 17.1 - Three shafts and four gears are used to form a...Ch. 17.1 - Prob. 17.50PCh. 17.1 - The drive belt on a vintage sander transmits 12 hp...Ch. 17.2 - Slender bar A is rigidly connected to a massless...Ch. 17.2 - A 1-m-long uniform slender bar AB has an angular...Ch. 17.2 - The 350-kg flywheel of a small hoisting engine has...Ch. 17.2 - A sphere of radius r and mass m is placed on a...Ch. 17.2 - Prob. 17.F3PCh. 17.2 - Prob. 17.52PCh. 17.2 - Prob. 17.53PCh. 17.2 - Prob. 17.54PCh. 17.2 - Prob. 17.55PCh. 17.2 - Prob. 17.56PCh. 17.2 - A disk of constant thickness, initially at rest,...Ch. 17.2 - Prob. 17.58PCh. 17.2 - A cylinder of radius r and weight W with an...Ch. 17.2 - Each of the double pulleys shown has a centroidal...Ch. 17.2 - Prob. 17.61PCh. 17.2 - Prob. 17.62PCh. 17.2 - Prob. 17.63PCh. 17.2 - A tape moves over the two drums shown. Drum A...Ch. 17.2 - Prob. 17.65PCh. 17.2 - Prob. 17.66PCh. 17.2 - Prob. 17.67PCh. 17.2 - Consider a rigid body initially at rest and...Ch. 17.2 - Prob. 17.69PCh. 17.2 - Prob. 17.70PCh. 17.2 - Prob. 17.71PCh. 17.2 - Prob. 17.72PCh. 17.2 - Prob. 17.73PCh. 17.2 - Prob. 17.74PCh. 17.2 - Prob. 17.75PCh. 17.2 - Prob. 17.76PCh. 17.2 - A sphere of radius r and mass m is projected along...Ch. 17.2 - Prob. 17.78PCh. 17.2 - Prob. 17.79PCh. 17.2 - Prob. 17.80PCh. 17.2 - Two 10-lb disks and a small motor are mounted on a...Ch. 17.2 - Prob. 17.82PCh. 17.2 - A 1.6-kg tube AB can slide freely on rod DE, which...Ch. 17.2 - In the helicopter shown, a vertical tail propeller...Ch. 17.2 - Prob. 17.85PCh. 17.2 - The 4-kg uniform disk B is attached to the shaft...Ch. 17.2 - Prob. 17.87PCh. 17.2 - Prob. 17.88PCh. 17.2 - Prob. 17.89PCh. 17.2 - Prob. 17.90PCh. 17.2 - Prob. 17.91PCh. 17.2 - Prob. 17.92PCh. 17.2 - Prob. 17.93PCh. 17.2 - Prob. 17.94PCh. 17.2 - Prob. 17.95PCh. 17.3 - A uniform slender rod AB ofmass m is at rest on a...Ch. 17.3 - Prob. 17.F5PCh. 17.3 - Prob. 17.F6PCh. 17.3 - Prob. 17.96PCh. 17.3 - A bullet weighing 0.08 lb is fired with a...Ch. 17.3 - Prob. 17.98PCh. 17.3 - Prob. 17.99PCh. 17.3 - Prob. 17.100PCh. 17.3 - Prob. 17.101PCh. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - Prob. 17.103PCh. 17.3 - Prob. 17.104PCh. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - Prob. 17.106PCh. 17.3 - Prob. 17.107PCh. 17.3 - Prob. 17.108PCh. 17.3 - Determine the height h at which the bullet of...Ch. 17.3 - A uniform slender bar of length L=200 mm and mass...Ch. 17.3 - A uniform slender rod of length L is dropped onto...Ch. 17.3 - A uniform slender rod AB has a mass m, a length L,...Ch. 17.3 - Prob. 17.113PCh. 17.3 - The trapeze/lanyard air drop (t/LAD) launch is a...Ch. 17.3 - The uniform rectangular block shown is moving...Ch. 17.3 - The 40-kg gymnast drops from her maximum height of...Ch. 17.3 - Prob. 17.117PCh. 17.3 - A uniformly loaded square crate is released from...Ch. 17.3 - A 1-oz bullet is fired with a horizontal velocity...Ch. 17.3 - For the beam of Prob. 17.119, determine the...Ch. 17.3 - The plank CDEhas a mass of 15 kg and rests on a...Ch. 17.3 - Prob. 17.122PCh. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - Prob. 17.125PCh. 17.3 - A 2-kg solid sphere of radius r=40 mm is dropped...Ch. 17.3 - Member ABC has a mass of 2.4 kg and is attached to...Ch. 17.3 - Member ABC has a mass of 2.4 kg and is attached to...Ch. 17.3 - Sphere A of mass mA=2 kg and radius r=40 mm rolls...Ch. 17.3 - A large 3-lb sphere with a radius r=3 in. is...Ch. 17.3 - Prob. 17.131PCh. 17.3 - Sphere A of mass m and radius r rolls without...Ch. 17.3 - Prob. 17.133PCh. 17.3 - Prob. 17.134PCh. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - Prob. 17.136RPCh. 17 - Prob. 17.137RPCh. 17 - You are asked to analyze a catcher for a small...Ch. 17 - A uniform slender rod is placed at corner B and is...Ch. 17 - Prob. 17.140RPCh. 17 - Prob. 17.141RPCh. 17 - Prob. 17.142RPCh. 17 - Prob. 17.143RPCh. 17 - A square block of mass m is falling with a...Ch. 17 - Prob. 17.145RPCh. 17 - A 1.8-lb javelin DE impacts a 10-lb slender rod...
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