Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 47P
(a)
To determine
The free body diagram of the light and if the tension in the wire 1 is greater than or less than tension in the wire 2.
(b)
To determine
The values of the tensions.
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Suppose you have a 100-kg box full of books resting on a wood floor, with coefficient of static
friction 0.500 between these surfaces. A force is applied at an angle of 30° with respect to
the horizontal, as shown.
M
(a) What is the minimum force would you need to exert on the box to get it to move?
(b) If you continue to exert this force once the box starts to slip, what will be its acceleration?
The coefficient of sliding friction is known to be 0.300 for this situation.
If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)?
Write Newton's laws for a static system
(1) EF, = mg sin 0 – µ̟n = 0
in component form. The gravity force
has two components.
(2) EF, = n - mg cos 0 = 0
Rearrange Equation (2) to get an
n = mg cos e
expression for the normal force n.
Substitute the expression for n into
EF, = mg sin 0 – µ̟mgcos 0 = 0 → tan 0 =µ,
Equation (1) and solve for tan 0.
Apply the inverse tangent function to
tan 0 = 0.350 → 0 = tan 1 (0.350) = 19.3°
get the answer.
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REMARKS It's interesting that the final result depends only on the coefficient of static friction. Notice
also how similar Equations (1) and (2) are to the equations developed in previous problems. Recognizing
such patterns is key to solving problems successfully.
QUESTION A larger static friction constant would result in a: (Select all that apply.)
O larger component of normal force at the maximum angle.
O larger component of gravitational force along the ramp at the maximum angle.
smaller component of gravitational force along the ramp…
Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98P
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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 block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of us = 0.055 between the block and the plane. The inclined plane is L = 6.8 m long and it has a height of h = 3.8 m at its tallest point. ) What angle, in degrees, does the plane make with respect to the horizontal? b) What is the magnitude of the normal force, Fy in newtons, that acts on the block? 0 m L →X c) What is the component of the force of gravity along the plane, Fex in newtons? gx d) Write an expression, in terms of 0, the mass m, the coefficient of static friction us, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. (e) Will the block slide?arrow_forwardThe figure below shows a box with a mass of m = 3.10 kg on a plane inclined at an angle of 35.0°. The coefficient of static friction between the box and the plane is 0.290. Find the minimum magnitude of the force F in N), applied to the box in a direction perpendicular to the plane, that will prevent the box from sliding down the plane.arrow_forwardThe two objects are initially at rest. If the static and kinetic friction coefficientsbetween block A and the horizontal surface are as shown in the figure.(a) Determine whether motion will occur when the objects are released from rest.At some point, the velocity of cylinder B reaches 1.2 m/s. Calculate :(b) The velocity and acceleration of block A.c) The tension in the cable and the acceleration of cylinder B.arrow_forward
- A child goes down a playground slide with an acceleration a. Find the coefficient of kinetic friction, between the child and the slide if the slide is inclined at an angle of theta. (a) Please solve for coefficient of friction in terms of g, theta and a only. (b) What would the child’s acceleration be in the limit as theta → 0 and 90 degrees. Demonstrate and Explain results.arrow_forwardA block of mass m is on an inclined ramp. The ramp makes anangle θ with respect to the horizontal, as shown. The ramp hasfriction, with coefficient of kinetic friction μk and static friction μs.This experiment takes place on earth.The block has an initial speed of v up the ramp. It travels adistance d along the ramp before it stops.Answer using variables, please.a) Draw a free body diagram clearly showing all the forces acting on the block while it is movingup the ramp.b) Calculate the work done by the Normal force as the block travels the distance d.Is it positive, negative, or zero?c) Calculate the work done by the Weight force as the block travels the distance d.Is it positive, negative, or zero?d) Calculate the work done by the Friction force as the block travels the distance d.Is it positive, negative, or zero?e) If the block comes to rest, how far has it travelled?Use the work-energy principle and your results of parts b), c), and d).f) Briefly (one sentence) explain why this…arrow_forwardDetermine the smallest force P that must be applied in order to cause the100 lb uniform crate to move. The coefficient of static friction between the crate and the floor is μs = 0.5. Describe the observed motion for P just above this minimum value.arrow_forward
- In the figure, the coefficient of kinetic friction between the block and inclined plane is 0.23, and angle 0 is 53º. (a) What is the acceleration (including sign) of the block if the block is sliding down the plane? Take the direction down the plane to be the positive direction. (b) What is the acceleration (including sign) of the block if the block is sliding up the plane? Take the direction down the plane to be the positive direction. (a) Number Units (b) Number Unitsarrow_forwardTwo blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient of friction μ). An external force is applied to the top block at an angle θ to the horizontal. a)What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the problem statement in addition to g for gravitational acceleration.arrow_forwardA body lies on a horizontal surface. The coefficient of friction between the body and the surface is k. Determine the angle α, at which the force acting to the body and causing its movement is the least.arrow_forward
- (b) Write an expression for the sum of the forces in the x-direction using the variables from the above Free Body Diagram. ΣFx= Part (c) Given the coordinate system specified in the problem statement, write an expression for the sum of the forces in the y-direction. Part (d) Write an expression to show the relationship between the maximum friction force, Ff, and the normal force, F. Part (e) Calculate the magnitude of F, in Newtons, if F is at its maximum.arrow_forwardA box of mass 0.8 kg is placed on an inclined surface that makes an angle 30° above the horizontal, Figure A constant force of 18 N is applied on the box in a direction 10 with the horizontal causing the box to accelerate up the incline. The coefficient of kinetic friction between the block and the plane is 0.25. (a) Calculate the block's acceleration as it moves up the incline. (b) If the block slides down at a constant speed, find the value of force applied. 30arrow_forwardA 40 kg horizontal bar is rested on the ledge and supported by a cable. A 70 kg block is hanging from the right end of the bar. The bar has a length L and is at rest. a) Find the tension in the cable. b) Find the normal force of the ledge on the bar.arrow_forward
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