EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100461262
Author: SERWAY
Publisher: Cengage Learning US
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Textbook Question
Chapter 5, Problem 5.44P
Two blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P5.43. The elevator has an upward acceleration a. The strings have negligible mass. (a) Kind the tensions T1 and T2 in the upper and lower strings in terms of m, a. and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks?
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A mobile is formed by supporting four metal butterflies
of equal mass m from a string of length L. The points of
support are evenly spaced a distance l apart as shown in
Figure P5.54. The string forms an angle 0, with the ceiling
at each endpoint. The center section of string is horizon-
tal. (a) Find the tension in each section of string in terms
of 0,, m, and g. (b) In terms of 0,, find the angle 0, that the
sections of string between the outside butterflies and the
inside butterflies form with the horizontal. (c) Show that
the distance D between the endpoints of the string is
L
D =
2 cos 0, + 2 cos[un "( an 0,] + 1
co[an (} tan 0,] + 1
D
0,
m
L = 5€
m
m
m
Figure P5.54
The rock is hanging from the middle of a clothesline. The rope is attached at equal heights 24 units apart and the entre point sags 1 unit below them. What is the tension if he has a mass of 20kg?
Chapter 5 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 5 - Which of the following statements is correct? (a)...Ch. 5 - An object experiences no acceleration. Which of...Ch. 5 - You push an object, initially at rest, across a...Ch. 5 - Suppose you are talking by interplanetary...Ch. 5 - (i) If a fly collides with the windshield of a...Ch. 5 - You press your physics textbook flat against a...Ch. 5 - Charlie is playing with his daughter Toney in the...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - In Figure OQ5.2, a locomotive has broken through...Ch. 5 - The third graders are on one side of a schoolyard,...
Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - An experiment is performed on a puck on a level...Ch. 5 - The manager of a department store is pushing...Ch. 5 - Two objects are connected by a siring that passes...Ch. 5 - An object of mass m is sliding with speed v, at...Ch. 5 - A truck loaded with sand accelerates along a...Ch. 5 - A large crate of mass m is place on the flatbed of...Ch. 5 - If an object is in equilibrium, which of the...Ch. 5 - A crate remains stationary after it has been...Ch. 5 - An object of mass m moves with acceleration a down...Ch. 5 - If you hold a horizontal metal bar several...Ch. 5 - Your hands are wet, and the restroom towel...Ch. 5 - In the motion picture It Happened One Night...Ch. 5 - If a car is traveling due westward with a constant...Ch. 5 - A passenger sitting in the rear of a bus claims...Ch. 5 - A child tosses a ball straight up. 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- Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43arrow_forwardTwo blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P4.33. The elevator has an upward acceleration a. The strings have negligible mass. (a) Find the tensions T1 and T2 in the upper and lower strings in terms of m, a, and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks? Figure P4.33 Problems 33 and 34.arrow_forwardTwo blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33. (a) If the elevator moves with an upward acceleration a of magnitude 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before a string breaks? Figure P4.33 Problems 33 and 34.arrow_forward
- (a) If half of the weight of a small 1.00103-kgutility truck is supported by its two drive wheels, s hat is the maximum acceleration it can achieve on dry concrete? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate? (c) Solve both problems assuming the truck has four-steel drive.arrow_forwardAll object of mass m = 500 kg is suspended from the ceiling of an accelerating truck as shown in Figure P6.21. Taking a = 3.00 m/s2, find (a) the angle 0 that the string makes with the vertical and (b) the tension T in the string.arrow_forwardA black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.5 g, what is the tension in the web?arrow_forward
- A 22 kg loudspeaker is suspended 2.4 m below the ceiling by two 2.70 m long cables that angle outward at equal angles. What is the tension in each of the cables?arrow_forwardConsider the three connected objects shown in Figure P5.88. Assume first that theinclined plane is friction-less and that the system is in equilibrium. In terms of m, g,and θ, find (a) the mass M and (b) the tensions T, and T2. Now assume that the valueof Af is double the value found in part (a). Find (c) the acceleration of each object and(d) the tensions T1 and T2. Next, assume that the coefficient of static friction betweenm and 2m and the inclined plane is m, and that the system is in equilibrium. Find (e)the maximum value of M and (0 the minimum value of M. (g) Compare the values of T2when M has its minimum and maximum values.arrow_forwardHopeful for greater opportunities, Juan applies for an international scholarship. Fortunately, he gotaccepted and is now at the airport to travel to New Zealand. Waiting on queue at the entrance, Juanis holding his 30kg luggage up on a ramp that is inclined at an angle of 10° from the horizontal.He is holding on to his luggage at an angle of 65° from the ramp. Compute for the tension theluggage exerts on his hand and the normal force.arrow_forward
- A mobile is formed by supporting four metal butterflies of equal mass m from a stringof length L. The points of support are evenly spaced a distance ℓ apart as shown inFigure P5.54. The string forms an angle θ1 with the ceiling at each endpoint. Thecenter section of string is horizontal. (a) Find the tension in each section of string interms of θ1, m, and g. (b) In terms of θ1, find the angle θ2that the sections of stringbetween the outside butterflies and the inside butterflies form with the horizontal. (c)Show that the distance D between the endpoints of the string isFigure P5.54arrow_forwardA small box is held in place against a rough vertical wall by someone pushing on it with a force directed upward at 26 ∘∘above the horizontal. The coefficients of static and kinetic friction between the box and wall are 0.40 and 0.30, respectively. The box slides down unless the applied force has magnitude 29 N . What is the mass of the box?arrow_forward(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10-5 kg hangs motionless on it. (Enter a number.) (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. y4 T. Ta The strand sags at an angle of 12.0° below the horizontal. (Enter a number.) Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand) =arrow_forward
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