Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 43P
An object of mass M is held in place by an applied force
Figure P4.43
44. Any device that allows you to increase the force you exert is a kind of machine. Some machines, such as the prybar or the inclined plane, are very simple. Some machines do not even look like machines. For example, your car is stuck in the mud and you can’t pull hard enough to get it out. You do, however, have a long cable that you connect taut between your front bumper and the trunk of a stout tree. You now pull sideways on the cable at its midpoint, exerting a force f. Each half of the cable is displaced through a small angle θ from the straight line between the ends of the cable. (a) Deduce an expression for the force acting on the car. (b) Evaluate the cable tension for the case where θ = 7.00° and f = 100 N.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An adventurous archaeologist crosses between two rock cliffs, with a raging river far below, by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.00 x 104 N, and our hero’s mass is 81.6 kg. a. If the angle that the rope makes with the cliff is 75o, find the tension in the rope.
b. What is the smallest value the angle can have if the rope is not to break?
A block with mass m1 = 7.5 kg rests on the surface of a horizontal table which has a coefficient of static friction of μs = 0.63. This block is connected by a pulley system to another block which hangs vertically. The hanging block has mass m2.
a. What is the minimum mass, m2,min, in kilograms, that will cause the system to move?
b. A second block with mass of 10 kg is placed on top of the first block. What is the new hanging mass, m2,min', in kilograms, that will cause the system to move?
c. The table is inclined at an angle, θ, relative to the horizontal in such a way that the pulley is at the highest point and the 10 kg is removed from m1. Write an equation for the magnitude of the normal force, FN, of the block.
d. Write an equation for the tension, T, in terms of mass m1 just before the block begins to slide. Note that the angle θ is not so large that the block would slide down the table under its own weight (i.e. if the tension acting on mass m1 were removed, the block would…
A chandelier hangs h = 0.62 m down from two chains of equal length. The chains are separated from one another by a length L = 0.45 m at the ceiling. The chandelier has a mass of m = 21 kg.Randomized Variablesh = 0.62 mL = 0.45 mm = 21 kgWhat is the angle, θ in degrees, between one of the chains and the vertical where it contacts the chandelier? Write an expression for FT,y, the magnitude of the y-component of the tension in one chain, in terms of the given information and variables available in the palette. FT,y =
Using your previous results, find the tension, FT in Newtons, in one chain.
FT =
Chapter 4 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 4.1 - Which of the following statements is most correct?...Ch. 4.4 - An object experiences no acceleration. Which of...Ch. 4.4 - You push an object, initially at rest, across a...Ch. 4.5 - Prob. 4.4QQCh. 4.6 - (i) If a fly collides with the windshield of a...Ch. 4.6 - Which of the following is the reaction force to...Ch. 4.7 - Consider the two situations shown in Figure 4.8,...Ch. 4 - Prob. 1OQCh. 4 - Prob. 2OQCh. 4 - Prob. 3OQ
Ch. 4 - Prob. 4OQCh. 4 - Prob. 5OQCh. 4 - Prob. 6OQCh. 4 - Prob. 1CQCh. 4 - If a car is traveling due westward with a constant...Ch. 4 - A person holds a ball in her hand. (a) Identify...Ch. 4 - Prob. 4CQCh. 4 - If you hold a horizontal metal bar several...Ch. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Balancing carefully, three boys inch out onto a...Ch. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Give reasons for the answers to each of the...Ch. 4 - Prob. 15CQCh. 4 - In Figure CQ4.16, the light, taut, unstretchable...Ch. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - A force F applied to an object of mass m1 produces...Ch. 4 - (a) A car with a mass of 850 kg is moving to the...Ch. 4 - A toy rocket engine is securely fastened to a...Ch. 4 - Two forces, F1=(6i4j)N and F2=(3i+7j)N, act on a...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Two forces F1 and F2 act on a 5.00-kg object....Ch. 4 - A 3.00-kg object is moving in a plane, with its x...Ch. 4 - A woman weighs 120 lb. Determine (a) her weight in...Ch. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - You stand on the seat of a chair and then hop off....Ch. 4 - Prob. 17PCh. 4 - A block slides down a frictionless plane having an...Ch. 4 - Prob. 19PCh. 4 - A setup similar to the one shown in Figure P4.20...Ch. 4 - Prob. 21PCh. 4 - The systems shown in Figure P4.22 are in...Ch. 4 - A bag of cement weighing 325 N hangs in...Ch. 4 - Prob. 24PCh. 4 - In Example 4.6, we investigated the apparent...Ch. 4 - Figure P4.26 shows loads hanging from the ceiling...Ch. 4 - Prob. 27PCh. 4 - An object of mass m1 = 5.00 kg placed on a...Ch. 4 - An object of mass m = 1.00 kg is observed to have...Ch. 4 - Two objects are connected by a light string that...Ch. 4 - Prob. 31PCh. 4 - A car is stuck in the mud. A tow truck pulls on...Ch. 4 - Two blocks, each of mass m = 3.50 kg, are hung...Ch. 4 - Two blocks, each of mass m, are hung from the...Ch. 4 - In Figure P4.35, the man and the platform together...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Prob. 39PCh. 4 - An object of mass m1 hangs from a string that...Ch. 4 - A young woman buys an inexpensive used car for...Ch. 4 - A 1 000-kg car is pulling a 300-kg trailer....Ch. 4 - An object of mass M is held in place by an applied...Ch. 4 - Prob. 44PCh. 4 - An inventive child named Nick wants to reach an...Ch. 4 - In the situation described in Problem 45 and...Ch. 4 - Two blocks of mass 3.50 kg and 8.00 kg are...Ch. 4 - Prob. 48PCh. 4 - In Example 4.5, we pushed on two blocks on a...Ch. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Review. A block of mass m = 2.00 kg is released...Ch. 4 - A student is asked to measure the acceleration of...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - A car accelerates down a hill (Fig. P4.57), going...Ch. 4 - Prob. 58PCh. 4 - In Figure P4.53, the incline has mass M and is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A 4.00 kg block slides on the surface of an inclined table, which makes an angle of 15.0° with the horizontal. The block is connected through cords over two pulleys to a 7.26 kg bowling ball on the upper side of the table, and a 3.00 kg ball on the lower side, as shown in Figure A1.16. The pulleys are massless and frictionless, while the coefficient of kinetic friction between the block and the table's surface is 0.470. a. Draw a free-body diagram for each moving object. b. Determine the direction of motion and acceleration of the system. c. Calculate the tension in each cord. 7.26 kg 4 kg 15° 3 kg Figure A1.16arrow_forwardTwo teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 65 kg and exerts an average force of 1350 N horizontally. Each of the second team's members has an average mass of 70 kg and exerts an average force of 1369 N horizontally. a. What is the acceleration (in m/s2 in the direction the heavy team is pulling) of the two teams? b. What is the tension (in N) in the section of rope between the teams?arrow_forwardAn adventurous archaeologist crosses between two rock cliffs, with a raging river far below, by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.00 x 104 N, and our hero’s mass is 81.6 kg. a. If the angle that the rope makes with the cliff is 75o, find the tension in the rope.arrow_forward
- Try again. A 4.6 kg body is at rest on a frictionless horizontal air track when a constant horizontal force F acting in the positive direction of an x axis along the track is applied to the body. A stroboscopic graph of the position of the body as it slides to the right is shown in the figure. The force F is applied to the body at t = 0, and the graph records the position of the body at 0.50 s intervals. How much work is done on the body by the applied force F between t = 0 and t = 1.8 s? 0.5s -1.0 s 1.5s 2.0 s 0.2 0.4 0.6 0.8 x (m) Number To.8 Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE to search 10:33 PM ENG 4/4/2021 ASUS 13) 16 17 1ghome 3 4 R U F G トarrow_forward58. V The systems shown in Figure P4.58 are in equilibrium. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline in Figure P4.58d are frictionless. 5.00 kg 5.00 kg 5.00 kg b A. 5.00 kg 30.0° 5.00 kg 5.00 kg Figure P4.58arrow_forwardThe "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end as shown in (Figure 1). Each arm supports a seat suspended from a 5.00-mm-long rod, the upper end of which is fastened to the arm at a point RRR = 1.80 mm from the central shaft. a)Make a free-body diagram of the seat, including the person in it. Draw the force vectors with their tails starting from the center of the dot. The location and orientation of your vectors will be graded. The exact length of your vectors will not be graded. b)Find the time of one revolution of the swing if the rod supporting the seat makes an angle of θθtheta = 32.0 ∘with the vertical.arrow_forward
- Problem 2. Consider the system shown in Figure 1 with m,= 12.5 kg, m, = 20.0 kg. Object m, is resting on the floor, and object m, 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. What is the magnitude %3D %3D the acceleration of the object. b. Calculate the time interval required for m, to hit the floorarrow_forwardA block is on a frictionless table, on earth. The block accelerates at 2.6 m/s 2 when a 70 N horizontal force is applied to it. The block and table are set up on the moon. The acceleration due to gravity at the surface of the moon is 1.62 m/s 2. The weight of the block on the moon is closest to: O 38 N O 33 N O 27 N O 22 N O 44 Narrow_forwardA 9.50 kg block is at rest on a horizontal floor, and then you pull it with a cord that exerts a tension force of 12.0 N on the block at an angle of 24.0o above the horizontal. The coefficient of kinetic friction between the block and the floor is 0.055. What is the speed of the block 0.85 s after it starts moving? Nothing I do is working! I only have three more tries to get it right and what should be working is not.arrow_forward
- Two blocks are connected by a string as in the figure and the system is released from rest. The coefficient of kinetic friction between Block A and the table is 0.3. Ignore the air resistance and friction between the pulley and the string. Find the tension in the rope. 12 kg Pulley m, = 12 kg 0. 82.3 N O 117.6 N 76.44 N 58.8 Narrow_forwardn6 no 2129 1. Consider the der the two-body situation at the righ right. A 25kg crate vera al bas encla beribni rests on an inclined plane and is connected by a cable to a 40kg mass (m2). This second mass (m2) is suspended over a pulley. The incline angle is 30.0° and the surface is frictionless. Draw free- body diagram for mass m, and m₂. Determine the acceleration of the system and the tension in the cable. 996hua 9rt bns 0.08 al signs 9niboni OSI.0 noitaht to insi903 6 26rl ort to noi16191930i1990 sidso srit ni stort has metaya m1 m2arrow_forwardBlock A, with a mass of 10 kg, rests on a 30° incline. The coefficient of kinetic friction is 0.20. The attached string is parallel to the incline and passes over a massless, frictionless pulley at the top. Block B, with a mass of 3.0 kg, is attached to the dangling end of the string. The acceleration of B is: B Select one: O a. Om/s? O b. 0.20 m/s?, up Ос. 28 т/s?, down O d. 0.20 m/s?, down O e. 2.8 m/s2, uparrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY