Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 12, Problem 35P
To determine
The stretch in steel wire.
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Review.A 2.00-m-long cylindrical steel wire with a cross-sectional diameter of 4.00 mm is placed over a light,frictionless pulley.An object of mass m1=5.00 kg is hung from one end of the wire and an object of mass m2 = 3.00 kg from the other end as shown in figure P12.35. The objects are released and allowed to move freely.Compared with its length before the objects were attached,by how much has the wire stretched while the objects are in motion?
After a late night of studying physics, several 80 kg students decide it would be fun to swing on the Foucault pendulum as described below. What’s the maximum number of students that the pendulum cable could support?
A Foucault pendulum in a physics department (used to prove that the earth rotates) consists of a 120 kg steel ball that swings at the end of a 6.0-m-long steel cable. The cable has a diameter of 2.5 mm. When the ball was first hung from the cable, by how much did the cable stretch?
A 13.2-kg object hangs in equilibrium from a string with a total length of
6.00 m
and a linear mass density of
? = 0.00500 kg/m.
The string is wrapped around two light frictionless pulleys that are separated by a distance of
d = 2.00 m.
Two figures show a system of two pulleys and a block of mass m attached to each other with string in a triangular arrangement. The pulleys are at the top left and top right of the triangle, separated by a distance d. The block connects directly to the bottom corner of the triangle, pulled downward by gravity vector g. In figure (a), the string connecting the pulleys is completely horizontal and unmoving. In figure (b), the string connecting the pulleys is oscillating as a standing wave such that there is one and a half wavelengths between the pulleys.
(a) Determine the tension in the string. N(b) At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b?
Chapter 12 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 12.1 - Consider the object subject to the two forces of...Ch. 12.1 - Consider the object subject to the three forces in...Ch. 12.2 - A meterstick of uniform density is hung from a...Ch. 12.4 - For the three parts of this Quick Quiz, choose...Ch. 12 - Prob. 1OQCh. 12 - Prob. 2OQCh. 12 - Prob. 3OQCh. 12 - Prob. 4OQCh. 12 - In the cabin of a ship, a soda can rests in a...Ch. 12 - Prob. 6OQ
Ch. 12 - Prob. 7OQCh. 12 - Prob. 8OQCh. 12 - Prob. 9OQCh. 12 - Prob. 10OQCh. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Prob. 7CQCh. 12 - What kind of deformation does a cube of Jell-O...Ch. 12 - Prob. 1PCh. 12 - Why is the following situation impossible? A...Ch. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Your brother is opening a skateboard shop. He has...Ch. 12 - A circular pizza of radius R has a circular piece...Ch. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - A uniform beam of length 7.60 m and weight 4.50 ...Ch. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - A uniform ladder of length L and mass m1 rests...Ch. 12 - A flexible chain weighing 40.0 N hangs between two...Ch. 12 - A uniform beam of length L and mass m shown in...Ch. 12 - Figure P12.13 shows a claw hammer being used to...Ch. 12 - A 20.0-kg floodlight in a park is supported at the...Ch. 12 - Prob. 19PCh. 12 - Review. While Lost-a-Lot ponders his next move in...Ch. 12 - John is pushing his daughter Rachel in a...Ch. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - A 10.0-kg monkey climbs a uniform ladder with...Ch. 12 - Prob. 25PCh. 12 - A steel wire of diameter 1 mm can support a...Ch. 12 - The deepest point in the ocean is in the Mariana...Ch. 12 - Assume Youngs modulus for bone is 1.50 1010 N/m2....Ch. 12 - A child slides across a floor in a pair of...Ch. 12 - Evaluate Youngs modulus for the material whose...Ch. 12 - Prob. 31PCh. 12 - When water freezes, it expands by about 9.00%....Ch. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Review. A 30.0-kg hammer, moving with speed 20.0...Ch. 12 - A bridge of length 50.0 m and mass 8.00 104 kg is...Ch. 12 - A uniform beam resting on two pivots has a length...Ch. 12 - Prob. 39APCh. 12 - The lintel of prestressed reinforced concrete in...Ch. 12 - Prob. 41APCh. 12 - When a person stands on tiptoe on one foot (a...Ch. 12 - A hungry bear weighing 700 N walks out on a beam...Ch. 12 - Prob. 44APCh. 12 - A uniform sign of weight Fg and width 2L hangs...Ch. 12 - Prob. 46APCh. 12 - Prob. 47APCh. 12 - Assume a person bends forward to lift a load with...Ch. 12 - A 10 000-N shark is supported by a rope attached...Ch. 12 - Prob. 50APCh. 12 - A uniform beam of mass m is inclined at an angle ...Ch. 12 - Prob. 52APCh. 12 - When a circus performer performing on the rings...Ch. 12 - Figure P12.38 shows a light truss formed from...Ch. 12 - Prob. 55APCh. 12 - A stepladder of negligible weight is constructed...Ch. 12 - A stepladder of negligible weight is constructed...Ch. 12 - Prob. 58APCh. 12 - Two racquetballs, each having a mass of 170 g, are...Ch. 12 - Review. A wire of length L, Youngs modulus Y, and...Ch. 12 - Review. An aluminum wire is 0.850 m long and has a...Ch. 12 - Prob. 62APCh. 12 - A 500-N uniform rectangular sign 4.00 m wide and...Ch. 12 - A steel cable 3.00 cm2 in cross-sectional area has...Ch. 12 - Prob. 65CPCh. 12 - In the What If? section of Example 12.2, let d...Ch. 12 - Prob. 67CPCh. 12 - A uniform rod of weight Fg and length L is...
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- Why is the following situation impossible? A worker in a factory pulls a cabinet across the floor using a rope as shown in Figure P12.36a. The rope make an angle = 37.0 with the floor and is tied h1 = 10.0 cm from the bottom of the cabinet. The uniform rectangular cabinet has height = 100 cm and width w = 60.0 cm, and it weighs 400 N. The cabinet slides with constant speed when a force F = 300 N is applied through the rope. The worker tires of walking backward. He fastens the rope to a point on the cabinet h2 = 65.0 cm off the floor and lays the rope over his shoulder so that he can walk forward and pull as shown in Figure P12.36b. In this way, the rope again makes an angle of = 37.0 with the horizontal and again has a tension of 300 N. Using this technique, the worker is able to slide the cabinet over a long distance on the floor without tiring. Figure P12.36 Problems 36 and 44.arrow_forwardReview. Consider the system shown in Figure P10.36 with m1 = 20.0 kg, m2 = 12.5 kg, R = 0.200 m, and the mass of the pulley M = 5.00 kg. Object m2 is resting on the floor, and object m1 is 4.00 m above the floor when it is released from rest. The pulley axis is frictionless. The cord is light, does not stretch, and does not slip on the pulley. (a) Calculate the time interval required for m1 to hit the floor. (b) How would your answer change if the pulley were massless?arrow_forwardReview. One end of a light spring with force constant k = 100 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in Figure P12.57, the string changes from horizontal to vertical as it passes over a pulley of mass M in the shape of a solid disk of radius R = 2.00 cm. The pulley is free to turn on a fixed, smooth axle. The vertical section of the string supports an object of mass m = 200 g. The string does not slip at its contact with the pulley. The object is pulled downward a small distance and released. (a) What is the angular frequency of oscillation of the object in terms of the mass M? (b) What is the highest possible value of the angular frequency of oscillation of the object? (c) What is the highest possible value of the angular frequency of oscillation of the object if the pulley radius is doubled to R = 4.00 cm? Figure P12.57arrow_forward
- A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28arrow_forwardWhen a person stands on tiptoe on one foot (a strenuous position), the position of the foot is as shown in Figure P12.32a. The total gravitational force Fg on the body is supported by the normal force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure P12.32b, where T is the force exerted on the foot by the Achilles tendon and R is the force exerted on the foot by the tibia. Find the values of T, R, and when Fg = 700 N. Figure P12.32arrow_forwardA homogeneous wire of mass (300 g) and length (6 m) The rope passes over a pulley and a weight of (2 kg) is suspended at its end. Its longitudinal density is: * 5 kg/m 0.05 kg/m 0.5 kg/m 5 g/marrow_forward
- Tarzan's best monkey friend, JoJo, hurt his hand awhile ago. He was swinging around the jungle and his hand got tangled in some vines. He has been resting it for awhile and has had to walk around the jungle instead of swinging through the jungle. Tarzan advised him that his hand should be healed by now and that he should start exercising it slowly before he tries swinging around on vines. JoJo has been squeezing his favorite rubber ball with his injured hand in order to build up its strength. Tarzan has been keeping track of his progress, but living in the jungle, rain has smudged his data table. Help Tarzan complete his data table using what you know about the behavior of balls that act like springs and the restoring force. Calculate what each smudge on the table should be. smudge A _____N/m smudge B_____N smudge C_____N smudge D_____cmarrow_forwardConsider the following figure. A strand has one end tied to a wall, extends across a small fixed pulley, and the other end is tied to a hanging object. M The total length of the strand is L = 9.00 m, the mass of the strand is m = 9.00 g, the mass of the hanging object is M = 7.00 kg, and the pulley is a fixed a distance d = 7.00 m from the walI. You pluck the strand between the wall and the pulley and it starts to vibrate. What is the fundamental frequency (in Hz) of its vibration? 19.40 How is the speed of the wave along the strand related to the tensions in and the linear mass density? How is the speed of the wave along the strand related to the wavelength and the frequency? See if you can combine these two relationships to determine the desired frequency. Hz Need Help? Read Itarrow_forwardA purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.2 kg and the sign has a mass of ms = 17.1 kg. The length of the beam is L = 2.51 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is θ = 33.6°. 1) What is the tension in the wire? N 2) What is the net force the hinge exerts on the beam? N 3) The maximum tension the wire can have without breaking is T = 859 N. What is the maximum mass sign that can be hung from the beam? kg 4) What else could be done in order to be able to hold a heavier sign? while still keeping it horizontal, attach the wire to the end of the beam keeping the wire attached at the same location on the beam, make the wire perpendicular to the beam attach the sign on the beam closer to the wall shorten the length of the wire attaching the box to the beam. Solve all.arrow_forward
- The drawing shows two crates that are connected by a steel wire that passes over a pulley. The unstretched length of the wire is 1.5 m, and its cross-sectional area is 1,3×10-5 m2. The pulley is frictionless and massless. When the crates are accelerating, determine the change in length of the wire. Ignore the mass of the wire.arrow_forwardA 70 gg mass is attached to one end of a 10-cm-long spring. The other end of the spring is connected to a frictionless pivot on a frictionless, horizontal surface. Spinning the mass around in a circle at 90 rpm causes the spring to stretch to a length of 12 cm. What is the value of the spring constant?arrow_forwardOpen Response 1: This is a multi-part problem. Please answer all parts here. A bar (m = 1.5 kg, L = 1 m) is supported by a string that is 0.3 m from one end. Two masses, m1 and m2, hang from either end of the bar, as shown in the figure. The size of m1 is unknown and m2 = 0.75 kg. The system is in equilibrium. 1 2, a. How big is m1? b. What is the tension in the string?arrow_forward
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