College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 3, Problem 99P
To determine
The approximate lateral force required to make the bones to join the knee.
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A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs
Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board)
Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.
The block shown in (Figure 1) has a mass of m = 100 kg, a height H = 1.4 m, and
width L = 2 m. It is resting on a ramp that makes an angle = 38 ° with the horizontal.
A force P is applied parallel to the surface of the ramp at the top of the block. What is
the maximum force that can be applied without causing the block to move? The
coefficient of static friction is μ = 0.38, and the center of mass of the block is at the
center of the rectangle.
Figure
Att
P
H
(
y
N
F
x
2 of 2
Part D
Use the free-body diagram shown in (Figure 2) and write the equilibrium equation for the moments about the point of contact.
Express your answer in terms of one or more of P, W, H, L, N, F, and 0.
Σ Μo = 0 =
Submit
Part E
Ptip=
Submit
Part F
What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip?
Express your answer to three significant figures with appropriate units.
CHA
Pmax =
IVE ΑΣΦΠ 1
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The block shown in (Figure 1) has a mass of m = 75 kg, a height
H = 1.1 m, and width L = 1.6 m. It is resting on a ramp that
makes an angle 0 = 34° with the horizontal. A force P is applied
parallel to the surface of the ramp at the top of the block. What is
the maximum force that can be applied without causing the block to
move? The coefficient of static friction is μs = 0.42, and the center
of mass of the block is at the center of the rectangle.
What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip?
Express your answer to three significant figures with appropriate units.
Ptip
= 649 N
Submit
Previous Answers
Correct
Figure
W
H
F
x
2 of 2
Part F
What is the maximum magnitude of P that does not cause motion of the block?
Express your answer to three significant figures with appropriate units.
☐
μÅ
Pmax = |667.611
N
Submit
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Chapter 3 Solutions
College Physics, Volume 1
Ch. 3.2 - Prob. 3.1CCCh. 3.3 - Prob. 3.2CCCh. 3.4 - Prob. 3.3CCCh. 3.4 - Prob. 3.4CCCh. 3.5 - Prob. 3.5CCCh. 3.6 - Prob. 3.6CCCh. 3.7 - Acceleration of a Skydiver Figure 3.27 shows a...Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3Q
Ch. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - The lower piece of silk in Figure 3.20 is acted on...Ch. 3 - Devise a block-and-tackle arrangement that...Ch. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - A bullet is fired upward with a speed v0 from the...Ch. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Your friends car has broken down, and you...Ch. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - You are given the job of moving a refrigerator of...Ch. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - A hockey puck slides along a rough, icy surface....Ch. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - A crate of mass 55 kg is attached to one end of a...Ch. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - In traction. When a large bone such as the femur...Ch. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Calculate the terminal speed for a pollen grain...Ch. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Calculate the terminal speed for a baseball. A...Ch. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76PCh. 3 - Prob. 77PCh. 3 - Prob. 78PCh. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - Prob. 81PCh. 3 - Prob. 82PCh. 3 - Prob. 83PCh. 3 - Prob. 84PCh. 3 - Prob. 85PCh. 3 - An impish young lad Stands on a bridge 10 m above...Ch. 3 - Prob. 87PCh. 3 - Prob. 88PCh. 3 - Prob. 89PCh. 3 - Prob. 90PCh. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Prob. 93PCh. 3 - Prob. 94PCh. 3 - Prob. 95PCh. 3 - Prob. 96PCh. 3 - Prob. 97PCh. 3 - Prob. 98PCh. 3 - Prob. 99P
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- The block shown in (Figure 1) has a mass of m = 90 kg, a height H = 1.8 m, and width L = 2.4 m . It is resting on a ramp that makes an angle = 23° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μ = 0.41, and the center of mass of the block is at the center of the rectangle. Figure 0 H ^ 1 of 1 Part A There are two ways the block can move: by slipping up the ramp or by tipping over. First consider the block slipping up the ramp. What is the magnitude of the normal force between the block and the ramp? Express your answer to three significant figures with appropriate units. N = Submit Part B Pslip = Submit Part C uА Value What is the maximum magnitude of P that can be applied before slipping would occur, assuming the block does not tip? Express your answer to three significant figures with appropriate units. Request…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_forwardA small box of mass m₁ is sitting on a board of mass m₂ and length L (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μg. The coefficient of kinetic friction between the board and the box is, as usual, less than μg. Throughout the problem, use g for the magnitude of the free-fall acceleration. In the hints, use f for the magnitude of the friction force between the board and the box. igure m₁ m₂ L F 1 of 1 Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of Express your answer in terms of some or all of the variables μs, m₁, m2, g, and L. Do not include f in your answer. ► View Available Hint(s) Π| ΑΣΦ Fmin = Submit Provide Feedback ? board). Activate Windows Go to Settings to activate Wiarrow_forward
- A wedge of total mass M, of metal with uniform thickness 1 m and uniform mass density p (kg/m³) is shown below. The wedge has a base of length a, and a height of length b. The wedge is supported by two posts. In a previous question, you found that 2CM, the 2 coordinate of the center of 2a mass of the wedge is located at 2. Find an expression for the normal force by post 2 on the wedge. 3 Post 1 Post 2 ΜΕ ΑΣΦ Submit responsearrow_forwardThe base of an automobile jackstand forms an equilateral triangle of side length 10 in. and is centered under the collar A. Model the structure as one with a ball and socket at each joint and determine the force in members BC, BD, and CD. Neglect any horizontal reaction components under the feet B, C, and D.arrow_forwardA professional athlete tears their Achilles tendon. There are two muscles in the back of the leg that pull upward on the Achilles tendon, as shown in the image below. (The Achilles tendon is the gray part above the heel) F₂ (250 N) F, (250 N) (a) Using information from the image above, what is the magnitude of the total force on the Achilles tendon? Number (b) What is the direction of the force on the Achilles tendon in the image? Up Down Left 20% 20° Rightarrow_forward
- A small block with mass mm is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is TT (Figure 1). The walls of the cone make an angle ββ with the horizontal. The coefficient of static friction between the block and the cone is μsμs. If the block is to remain at a constant height hh above the apex of the cone, what are (a) the maximum value of TT and (b) the minimum value of TT? (That is, find expressions for TmaxTmax and TminTmin in terms of ββ and hh.) (c) What do your expressions for TmaxTmax and TminTmin become if μsμs = 0? Express your answer in terms of the variables ββbeta, hhh, and constants ggg, ππpi separated by a comma.arrow_forwardA small box of mass 4.1kg is sitting on a board of mass 1kg and length 1.1m(Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is 0.54. The coefficient of kinetic friction between the board and the box is, as usual, less than 0.54. Throughout the problem, use 9.8m/s^2 for the magnitude of the acceleration due to gravity. In the hints, use Fr for the magnitude of the friction force between the board and the box. Figure esc ! 1 FI m₂ L 2 F2 #3 1 of 1 > 80 F3 E $ 4 888 F4 Part A R Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board). View Available Hint(s) Fmin = Submit Provide Feedback % [5] ΑΣΦ 5 F5 T 1 MacBook Air 6 F6 Y & 7 www. F7 ? U N 8 00 DII FB 1 ( 9 DD F9 I ) C F10 I 1 P (1 Review I Constants F11 I + Next > F12arrow_forwardA thin uniform rod is held against a vertical wall by a cord attached to the end. The rod is not attached at the wall; friction from the wall holds it up. Find the minimum coefficient of static friction to allow equilibrium. Express your answer in terms of the angle θ, and then evaluate for θ = 37deg. Include a free-body diagram and clear explanations with your solution.arrow_forward
- Consider a traffic light suspended from two wires as shown in the figure below. The left wire makes an angle e = 37.4° below the horizontal with the top of its pole and carries a tension of 121 N. The 11.5 m tall hollow aluminum pole is equivalent in stiffness to a 4.25 cm diameter solid cylinder. (a) How far (in m) is it bent to the side? (b) By how much (in m) is it compressed? Marrow_forwardBody U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45° to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and µ (except when µ is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. h U: 5m C 45 D W: m 3harrow_forwardThe two blocks (m =16 kg, M =88 kg) in Fig. are not attached to each other. The coefficient of static friction between the blocks is µs =0.38, but the surface beneath the larger block is frictionless. What is the minimum magnitude of the horizontal force required to keep the smaller block from slipping down the larger block?arrow_forward
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