Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 22E
A portion of a roller-coaster track is described by the equation h = 0.94x − 0.01x2, where h and x are the height and horizontal position in meters. (a) Find a point where the roller-coaster car could be in static equilibrium on this track. (b) Is this equilibrium stable or unstable?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 5 kg block sits on an inclined plane with angle 30 degrees. A force is applied parallel to the incline. The magnitude of the applied force required to keep the block stationary is
In the figure, suppose the length L of the uniform bar is 3.2 m and its weight is 150 N. Also, let the block's weight W = 300 N
and the angle 0 = 29°. The wire can withstand a maximum tension of 430 N. (a) What is the maximum possible distance x
before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical
components of the force on the bar from the hinge at A?
A
(a) Number i
Units
(b) Number i
(c) Number
Units
com
Units
L
e
B
>
(a) Is it possible for an object to be in translation equilibrium ( the first condition) but not in rational equilibrium ( the second condition) ? Illustrate your answer with a simple example. (b) Can an object be in rational equilibrium yet not in translation equilibrium? justify your answer with a simple example.
Chapter 12 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 12.1 - The figure shows three pairs of forces acting on...Ch. 12.2 - Prob. 12.2GICh. 12.3 - The figure shows a person in static equilibrium...Ch. 12.4 - Prob. 12.4GICh. 12 - Give an example of an object on which the net...Ch. 12 - Give an example of an object on which the net...Ch. 12 - Prob. 3FTDCh. 12 - Pregnant women often assume a posture with their...Ch. 12 - When you carry a bucket of water with one hand,...Ch. 12 - Is a ladder more likely to slip when you stand...
Ch. 12 - How does a heavy keel help keep a boat from...Ch. 12 - Does choosing a pivot point in an equilibrium...Ch. 12 - If you take the pivot point at the application...Ch. 12 - A short dog and a tall person are standing on a...Ch. 12 - Prob. 11FTDCh. 12 - A body is subject to three forces; F1=1i+2jN,...Ch. 12 - To demonstrate that the choice of pivot point...Ch. 12 - In Fig. 12.11 the forces shown all have the same...Ch. 12 - Figure 12.12a shows a thin, uniform square plate...Ch. 12 - Repeat the preceding problem for the equilateral...Ch. 12 - A 23-m-long log of irregular cross section lies...Ch. 12 - A 60-kg uniform board 2.4 m long is supported by a...Ch. 12 - Where should the child in Fig. 12.14 sit if the...Ch. 12 - A 4.2-m-long beam is supported by a cable at its...Ch. 12 - Figure 12.15 shows how a scale with a capacity of...Ch. 12 - A portion of a roller-coaster track is described...Ch. 12 - Prob. 23ECh. 12 - Youre a highway safety engineer, and youre asked...Ch. 12 - Figure 12.17a shows an outstretched arm with mass...Ch. 12 - A uniform sphere of radius R is supported by a...Ch. 12 - You work for a garden equipment company, and youre...Ch. 12 - Figure 12.20 shows the fool and lower leg of a...Ch. 12 - A uniform 5.0-kg ladder is leaning against a...Ch. 12 - The boom in the crane of Fig. 12.21 is free to...Ch. 12 - A uniform board of length L and weight W is...Ch. 12 - Figure 12.23 shows a 1250-kg car that has slipped...Ch. 12 - Repeat Example 12.2, now assuming that the...Ch. 12 - You are headwaiter at a new restaurant, and your...Ch. 12 - Climbers attempting to cross a stream place a...Ch. 12 - A crane in a marble quarry is mounted on the...Ch. 12 - A rectangular block measures w w L, where L is...Ch. 12 - The potential energy as a function of position for...Ch. 12 - A rectangular block of mass m measures w w L,...Ch. 12 - A 160-kg highway sign of uniform density is 2.3 m...Ch. 12 - A 5.0-m-long ladder has mass 9.5 kg and is leaning...Ch. 12 - Prob. 42PCh. 12 - A uniform, solid cube of mass m and side s is in...Ch. 12 - An isosceles triangular block of mass m and height...Ch. 12 - Youre investigating ladder safety for the Consumer...Ch. 12 - A 2.0-m-long rod has density in kilograms per...Ch. 12 - What horizontal force applied at its highest point...Ch. 12 - A rectangular block twice as high as it is wide is...Ch. 12 - What condition on the coefficient of friction in...Ch. 12 - A uniform solid cone of height h and base diameter...Ch. 12 - Prove the statement in Section 12.1 that the...Ch. 12 - Three identical books of length L are stacked over...Ch. 12 - A uniform pole of mass M is at rest on an incline...Ch. 12 - For what angle does the situation in Problem 53...Ch. 12 - Figure 12.31 shows a popular system for mounting...Ch. 12 - The nuchal ligament is a thick, cordlike structure...Ch. 12 - A 4.2-kg plant hangs from the bracket shown in...Ch. 12 - The wheel in Fig. 12.34 has mass M and is weighted...Ch. 12 - An interstellar spacecraft from an advanced...Ch. 12 - Youre called to testify in a product liability...Ch. 12 - Youre designing a vacation cabin at a ski resort....Ch. 12 - Prob. 62PCh. 12 - Engineers designing a new semiconductor device...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...
Additional Science Textbook Solutions
Find more solutions based on key concepts
How might you measure the magnetic dipole moment of the Earth?
Physics for Scientists and Engineers with Modern Physics
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
S
10. FIGURE EX6.10 shows the velocity graph of a 2.0 kg object as it moves along the x-axis. What is the net ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Figure 2 shows the extrasolar planet and star from the side or as seen edge-on. At the instant shown, which dir...
Lecture- Tutorials for Introductory Astronomy
A particles position as a function of time is given by x = x0 sint, where x0 and are constants, (a) Find expre...
Essential University Physics (3rd Edition)
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
- In the figure, suppose the length L of the uniform bar is 2.9 m and its weight is 170 N. Also, let the block's weight W = 270 N and the angle 0 = 37°. The wire can withstand a maximum tension of 360 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? com A (a) Number i Units (b) Number i Units (c) Number i Units >arrow_forwardThe human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.60 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 208 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?arrow_forwardPlease help mearrow_forward
- ←MOD 1_EXAM Destion/4 Question 5 of 6 - /20: (a) Determine the reactions at A and E if P = 970 N. The reactions are positive if to the right or up, negative if to the left or down. (b) What is the maximum value which P may have for static equilibrium? Neglect the weight of the structure compared with the applied loads. 27, 3900 N A 1 3.2 m 8:28 pm AL 30°C Light rain 18/06/2022 F12 F11 E Answers: (a) If P = 970 N, H FULL HD-1080- Type here to search 3.9 m Cull B D LIIX 3.9 m F4 C O E CH FS F6 F7 acer FB 9 F9 * F10 lo 2 Prt Sc 口 Paused O 01:19:35 - ENG Pause Br man Deletearrow_forwardWhen the load L is 11.6 m from point C, the tension T in the cable has a magnitude of 8.0 kN. Express T as a vector using the unit vectors i and j. Assume a = 11.6 m, b = 4 m, c = 9.1m. L +9 Answer: T = ( M. B i+ i j) KNarrow_forwardA metal block with mass 2.5kgs is clamped to an inclined board with a force of 23N. The angle between the lower end of the board and the ground is 35°. What is the minimum vertical force needed to move the block upward if the coefficient of friction is 0.2?arrow_forward
- In the figure, suppose the length L of the uniform bar is 3.5 m and its weight is 150 N. Also, let the block's weight W=340 N and the angle 0-33". The wire can withstand a maximum tension of 370 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? (a) Number i Units (b) Number i Units (c) Number i Units com A B Εarrow_forwardAn archer must exert a force of 360 N on the bowstring shown in Figure (a) such that the string makes an angle of ? = 29.0° with the vertical. Two diagrams show a bow oriented vertically, with the midpoint of the bowstring pulled to the right. In both diagrams, the top half of the bowstring starts at the top limb and extends down and to the right to the midpoint of the string, and makes an acute angle of ? with the vertical. The bottom half of the string appears to make the same angle with the vertical. In the first diagram, a force arrow points from the midpoint of the string to the right. In the second diagram, the left end of a horizontal spring with spring constant k is attached to the midpoint of the string. The right end of the spring is attached to a vertical wall. (a) Determine the tension in the bowstring. N (b) If the applied force is replaced by a stretched spring as in Figure (b) and the spring is stretched 30.5 cm from its unstretched length, what is the spring…arrow_forwardTwo vertical walls are separated by a distance of 150 cm. Wall 1 is smooth, while wall 2 is not. A uniform board is propped between the walls. The coefficient of static friction between the board and wall 2 is 0.98. What is the longest board (in cm) that can be propped between the walls? Write the complete solution with given.arrow_forward
- In the figure, suppose the length L of the uniform bar is 2.7 m and its weight is 180 N. Also, let the block's weight W = 340 N and the angle θ = 29˚. The wire can withstand a maximum tension of 400 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) verticalcomponents of the force on the bar from the hinge at A?arrow_forwardA trapeze artist, with swing, weighs 800 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0° with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?arrow_forwardQuestion 2. The net interatomic force between the atoms of an element is given by the following expression: 6.561x10- 10 Where F is in N and r is interatomic distance in A°, If the interatomic equilibrium distance is known as 3 A° (1 A° = 10-8 cm): Calculate: a) the attractive constant A. b) the maximum interatomic force in Narrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Static Equilibrium: concept; Author: Jennifer Cash;https://www.youtube.com/watch?v=0BIgFKVnlBU;License: Standard YouTube License, CC-BY