VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
12th Edition
ISBN: 9781260265521
Author: BEER
Publisher: MCG
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Chapter 13, Problem 13.193RP
To determine
The maximum and minimum values of normal force exerted by track on the car.
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A section of track for a roller coaster consists of two circular arcs ABC and CD joined by a straight portion BC. The radius of AB is 27 m and the radius of CD is 72 m. The car and its occupants, of total mass 250 kg, reach point A with practically no velocity and then drop freely along the track. Determine the normal force exerted by the track on the car as the car reaches point B . Ignore air resistance and rolling resistance.
A section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight portion BC. The radius of AB is 27 m
and the radius of CD is 72 m. The car and its occupants, of total mass 263 kg, reach point A with practically no velocity and then drop
freely along the track. Determine the maximum and minimum values of the normal force exerted by the track on the car as the car
travels from A to D. Ignore air resistance and rolling resistance.
27 m
18 m
r=72m
The minimum normal force exerted by the track is
The maximum normal force exerted by the track is [
6955 N.
6955 N
The 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular
arcs AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heights
of the ramp at g and b are given as a = 15 m and b = 30 m. At point 4, the package is initially
at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The
air resistance and rolling resistance are ignored.
a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D.
b. Using the principle of conservation of energy, determine the normal component of
acceleration at point B.
c. Determine the normal force exerted by the ramp on the package at point B.
Chapter 13 Solutions
VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - Prob. 13.2PCh. 13.1 - Prob. 13.3PCh. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - Prob. 13.6PCh. 13.1 - Prob. 13.7PCh. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - An athlete is holding 30 lb of weights at a height...
Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - A package is thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - A trailer truck enters a 2 percent uphill grade...Ch. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - The subway train shown is travelling at a speed of...Ch. 13.1 - Prob. 13.19PCh. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The motor applies a constant downward force F=1050...Ch. 13.1 - The motor applies a constant downward force F to...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg....Ch. 13.1 - Four 15-kg packages are placed as shown on a...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26. assuming that the 2-kg block is...Ch. 13.1 - People with mobility impairments can gain great...Ch. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - A 0.75-lb brass (nonmagnetic) block A and a 0.5-lb...Ch. 13.1 - An uncontrolled automobile travelling at 65 mph...Ch. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Nonlinear springs are classified as hard or soft,...Ch. 13.1 - A meteor starts from rest at a very great distance...Ch. 13.1 - Express the acceleration of gravity gh, at an...Ch. 13.1 - Prob. 13.38PCh. 13.1 - The sphere at A is given a downward velocity v0 of...Ch. 13.1 - The sphere at Ais given a downward velocity v0and...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42. determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - A small block slides at a speed v=8 ft/s on a...Ch. 13.1 - A chairlift is designed to transport 1000 skiers...Ch. 13.1 - Prob. 13.47PCh. 13.1 - The velocity of the lift of Prob. 13.47 increases...Ch. 13.1 - (a) A 120-lb woman rides a 15-lb bicycle up a...Ch. 13.1 - Prob. 13.50PCh. 13.1 - Prob. 13.51PCh. 13.1 - Prob. 13.52PCh. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - A small blocks is released from rest and slides...Ch. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 2-lb collar C may slide without friction along a...Ch. 13.2 - Solve Prob. 13.58 assuming the spring CD has been...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28....Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - Prob. 13.63PCh. 13.2 - Prob. 13.64PCh. 13.2 - Prob. 13.65PCh. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Solve Prob. 13.68 assuming the coefficient of...Ch. 13.2 - Prob. 13.70PCh. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - Prob. 13.72PCh. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - An 8-oz package is projected upward with a...Ch. 13.2 - If the package of Prob. 13.74 is not to hit the...Ch. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - Prob. 13.78PCh. 13.2 - Prob. 13.79PCh. 13.2 - Prob. 13.80PCh. 13.2 - A force F acts on a particle P(x, y) which moves...Ch. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - (a) Determine the kinetic energy per unit mass...Ch. 13.2 - Prob. 13.86PCh. 13.2 - Prob. 13.87PCh. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - Prob. 13.92PCh. 13.2 - Prob. 13.93PCh. 13.2 - Prob. 13.94PCh. 13.2 - Prob. 13.95PCh. 13.2 - Prob. 13.96PCh. 13.2 - Prob. 13.97PCh. 13.2 - Prob. 13.98PCh. 13.2 - Prob. 13.99PCh. 13.2 - Prob. 13.100PCh. 13.2 - Prob. 13.101PCh. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - Prob. 13.110PCh. 13.2 - Prob. 13.111PCh. 13.2 - Prob. 13.112PCh. 13.2 - Prob. 13.113PCh. 13.2 - Prob. 13.114PCh. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass mdescribes a circular orbit...Ch. 13.2 - Prob. 13.117PCh. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - The initial velocity of the block in position A is...Ch. 13.3 - Prob. 13.F2PCh. 13.3 - Prob. 13.F3PCh. 13.3 - Car A was traveling west at a speed of 15 m/s and...Ch. 13.3 - Prob. 13.F5PCh. 13.3 - A 35.000-Mg ocean liner has an initial velocity of...Ch. 13.3 - Prob. 13.120PCh. 13.3 - A sailboat weighing 980 lb with its occupants is...Ch. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Baggage on the floor of the baggage car of a...Ch. 13.3 - Prob. 13.126PCh. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - Prob. 13.131PCh. 13.3 - The motor applies a constant downward force F=550...Ch. 13.3 - Prob. 13.133PCh. 13.3 - Prob. 13.134PCh. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - Prob. 13.136PCh. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - A 1.6 2-oz golf ball is hit with a golf club and...Ch. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - Prob. 13.142PCh. 13.3 - Prob. 13.143PCh. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 120-ton tugboat is moving at 6 ft/s with a slack...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Prob. 13.149PCh. 13.3 - Prob. 13.150PCh. 13.3 - Prob. 13.151PCh. 13.3 - Prob. 13.152PCh. 13.3 - Prob. 13.153PCh. 13.3 - In order to test the resistance of a chain to...Ch. 13.4 - A 5 -kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - F6 A sphere with a speed v0 rebounds after...Ch. 13.4 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 13.4 - Prob. 13.F8PCh. 13.4 - Prob. 13.F9PCh. 13.4 - Block A of mass mA strikes ball B of mass mB with...Ch. 13.4 - Two steel blocks slide without friction on a...Ch. 13.4 - Prob. 13.156PCh. 13.4 - One of the requirements for tennis balls to be...Ch. 13.4 - Prob. 13.158PCh. 13.4 - Prob. 13.159PCh. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Prob. 13.161PCh. 13.4 - Prob. 13.162PCh. 13.4 - Prob. 13.163PCh. 13.4 - Two identical billiard balls can move freely on a...Ch. 13.4 - Two identical 40-lb curling stones have diameters...Ch. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - Prob. 13.168PCh. 13.4 - Prob. 13.169PCh. 13.4 - The Mars Pathfinder spacecraft used large airbags...Ch. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Rockfalls can cause major damage to roads and...Ch. 13.4 - Prob. 13.173PCh. 13.4 - cars of the same mass run head-on into each other...Ch. 13.4 - Prob. 13.175PCh. 13.4 - Prob. 13.176PCh. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Blocks A and B each weigh 0.8 lb and block C...Ch. 13.4 - A 5-kg sphere is dropped from a height of y=2 m to...Ch. 13.4 - Prob. 13.180PCh. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - Prob. 13.183PCh. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Prob. 13.185PCh. 13.4 - Prob. 13.186PCh. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of a=30 , the 1-Ib...Ch. 13.4 - Prob. 13.189PCh. 13 - 34,000-Ib airplane lands on an aircraft carrier...Ch. 13 - Prob. 13.191RPCh. 13 - A satellite describes an elliptic orbit about a...Ch. 13 - Prob. 13.193RPCh. 13 - Prob. 13.194RPCh. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - Prob. 13.197RPCh. 13 - Prob. 13.198RPCh. 13 - Prob. 13.199RPCh. 13 - Prob. 13.200RPCh. 13 - The 2-Ib ball at A is suspended by an inextensible...
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