Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 13.2, Problem 13.63P
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Fig. P13.63
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2) A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched
length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface
of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of
2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length
of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the
motion of this ball, what is the minimum value of the velocity of the ball?
From mechanics of materials it is known that when a static load P is applied at the end B of a uniform metal rod fixed at end A, the length of the rod will increase by an amount δ=PL/AE, where L is the length of the undeformed rod, A is its cross- sectional area, and E is the modulus of elasticity of the metal. Knowing that L = 450 mm and E = 200 GPa and that the diameter of the rod is 8 mm, and neglecting the mass of the rod, determine (a) the equivalent spring constant of the rod, (b ) the frequency of the vertical vibrations of a block of mass m = 8 kg attached to end B of the same rod.
Problem (1)
A tractor-trailer is traveling at 90 km/h when the driver applies his brakes.
Knowing that the braking forces of the tractor and the trailer are 16 kN and 60
kN, respectively, determine:
(a) the distance traveled by the tractor-trailer before it comes to a stop,
(b) the horizontal component of the force in the hitch between the tractor and
the trailer while they are slowing down.
7900 kg
6800 kg
RAIL INES
CROSS COUNTRY MOVERS
00
Chapter 13 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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 - 13.6 In an ore-mixing operation, a bucket full of...Ch. 13.1 - Prob. 13.7PCh. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - Prob. 13.9P
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 - Prob. 13.12PCh. 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 - Prob. 13.16PCh. 13.1 - Prob. 13.17PCh. 13.1 - The subway train shown is traveling 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 - Prob. 13.22PCh. 13.1 - Prob. 13.23PCh. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg,...Ch. 13.1 - Prob. 13.25PCh. 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 - Prob. 13.28PCh. 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 - Prob. 13.32PCh. 13.1 - Prob. 13.33PCh. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Prob. 13.35PCh. 13.1 - Prob. 13.36PCh. 13.1 - Prob. 13.37PCh. 13.1 - Prob. 13.38PCh. 13.1 - Prob. 13.39PCh. 13.1 - The sphere at A is given a downward velocity v0...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 - Prob. 13.45PCh. 13.1 - Prob. 13.46PCh. 13.1 - Prob. 13.47PCh. 13.1 - Prob. 13.48PCh. 13.1 - Prob. 13.49PCh. 13.1 - Prob. 13.50PCh. 13.1 - A 1400-kg automobile starts from rest and travels...Ch. 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 - Prob. 13.3CQCh. 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 - Prob. 13.58PCh. 13.2 - Prob. 13.59PCh. 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 - It is shown in mechanics of materials that the...Ch. 13.2 - Prob. 13.64PCh. 13.2 - A 500-g collar can slide without friction along...Ch. 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 - Prob. 13.69PCh. 13.2 - 13.70 A section of track for a roller coaster...Ch. 13.2 - 13.71 A section of track for a roller coaster...Ch. 13.2 - A 1-lb collar is attached to a spring and slides...Ch. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.74PCh. 13.2 - Prob. 13.75PCh. 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 - Prove that a force F(x, y, z) is conservative if,...Ch. 13.2 - The force F = (yzi + zxj + xyk)/xyz acts on the...Ch. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - Prob. 13.85PCh. 13.2 - A satellite describes an elliptic orbit of minimum...Ch. 13.2 - While describing a circular orbit 200 mi above the...Ch. 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 - (a) Show that, by setting r = R + y in the...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - A governor is designed so that the valve of...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - Using the principles of conservation of energy and...Ch. 13.2 - Prob. 13.99PCh. 13.2 - A spacecraft is describing an elliptic orbit of...Ch. 13.2 - While describing a circular orbit, 185 mi above...Ch. 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 - A space vehicle is in a circular orbit at an...Ch. 13.2 - Prob. 13.111PCh. 13.2 - Show that the values vA and vP of the speed of an...Ch. 13.2 - Show that the total energy E of an earth satellite...Ch. 13.2 - A space probe describes a circular orbit of radius...Ch. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass m describes a circular orbit...Ch. 13.2 - Using the answers obtained in Prob. 13.108, show...Ch. 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 - Prob. 13.1IMDCh. 13.3 - Prob. 13.2IMDCh. 13.3 - Prob. 13.3IMDCh. 13.3 - Prob. 13.4IMDCh. 13.3 - Prob. 13.5IMDCh. 13.3 - A 35 000-Mg ocean liner has an initial velocity of...Ch. 13.3 - A 2500-lb automobile is moving at a speed of 60...Ch. 13.3 - Prob. 13.121PCh. 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 - Prob. 13.125PCh. 13.3 - The 18 000-kg F-35B uses thrust vectoring to allow...Ch. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - A tractor-trailer rig with a 2000-kg tractor, a...Ch. 13.3 - Prob. 13.132PCh. 13.3 - An 8-kg cylinder C rests on a 4-kg platform A...Ch. 13.3 - An estimate of the expected load on...Ch. 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 - Prob. 13.140PCh. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - The last segment of the triple jump...Ch. 13.3 - The design for a new cementless hip implant is to...Ch. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - 13.145 A 25-ton railroad car moving at 2.5 mi/h is...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 - Bullet B weighs 0.5 oz and blocks A and C both...Ch. 13.3 - A 180-lb man and a 120-lb woman stand at opposite...Ch. 13.3 - A 75-g ball is projected from a height of 1.6 m...Ch. 13.3 - A ballistic pendulum is used to measure the speed...Ch. 13.3 - Prob. 13.153PCh. 13.3 - Prob. 13.154PCh. 13.4 - A 5-kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - A sphere with a speed v0 rebounds after striking a...Ch. 13.4 - Prob. 13.7IMDCh. 13.4 - Prob. 13.8IMDCh. 13.4 - A 10-kg ball A moving horizontally at 12 m/s...Ch. 13.4 - Prob. 13.10IMDCh. 13.4 - Prob. 13.155PCh. 13.4 - Prob. 13.156PCh. 13.4 - Prob. 13.157PCh. 13.4 - Prob. 13.158PCh. 13.4 - To apply shock loading to an artillery shell, a...Ch. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Prob. 13.161PCh. 13.4 - At an amusement park, there are 200-kg bumper cars...Ch. 13.4 - At an amusement park there are 200-kg bumper cars...Ch. 13.4 - Prob. 13.164PCh. 13.4 - 13.165 Two identical pool balls with a 2.37-in....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 - Prob. 13.170PCh. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Prob. 13.172PCh. 13.4 - From experimental tests, smaller boulders tend to...Ch. 13.4 - Prob. 13.174PCh. 13.4 - A 1-kg block B is moving with a velocity v0 of...Ch. 13.4 - A 0.25-lb ball thrown with a horizontal velocity...Ch. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Prob. 13.178PCh. 13.4 - A 5-kg sphere is dropped from a height of y = 2 m...Ch. 13.4 - A 5-kg sphere is dropped from a height of y = 3 m...Ch. 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 - Ball B is hanging from an inextensible cord. An...Ch. 13.4 - A 70-g ball B dropped from a height h0 = 1.5 m...Ch. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of = 30, the 1-lb...Ch. 13.4 - When the rope is at an angle of = 30, the 1-kg...Ch. 13 - Prob. 13.190RPCh. 13 - Prob. 13.191RPCh. 13 - Prob. 13.192RPCh. 13 - Prob. 13.193RPCh. 13 - 13.194 A 50-lb sphere A with a radius of 4.5 in....Ch. 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 - A 2-kg ball B is traveling horizontally at 10 m/s...Ch. 13 - A 2-kg block A is pushed up against a spring...Ch. 13 - The 2-lb ball at A is suspended by an inextensible...
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