Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 51P
To determine
The third horizontal force.
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The diagram shows a block of mass m = 2.50 kg resting on a plane inclined at an angle of
0 = 30° to the horizontal. The coefficient of static friction between the block and the plane
is Ustatic = 0.135, and the block is stationary but just on the point of sliding up the slope.
3
X
E
Fi
D
maximum magnitude of applied force =
3
N
x'
mg
Fi
The diagram shows the four forces acting on the block: an applied force F₁ acting up the
slope, the block's weight mg, the normal reaction force N and the force of static friction,
Ff. In this case, the force of static friction acts down the slope, opposing the tendency of
the block to move up the slope.
Find the the maximum magnitude of the applied force F₁ that can be exerted if the block
is to remain stationary. Specify your answer by entering a number into the empty box
below.
0
N.
You are holding a book of mass 10.7 kg that is initially at rest against a vertical wall by exerting a force of magnitudeF Yb = 100.8 N at an angle of θ = 34.7 degrees, as indicated in the figure.If the coefficients of friction between the book and the wall are μs = 0.46 and μk = 0.36, find the magnitude of thefrictional force from the wall on the book.
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the
equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force
R passes.
Assume F1-69 lb, F2-60 lb, F3-32 lb. F4-61 lb,a-75 in, b-60 in, and = 47°
F₁
F₁-
Answers:
(a) The force-couple system at O
R=
b
Mo-
(i
i
(b) The line of action of the single resultant R:
On the x-xx-
On the y-axis y
i
klb-in
in.
in.
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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- A block of mass 4.20 kg is pushed up against a wall by a force P that makes an angle of θ = 50.0°angle with the horizontal as shown below. The coefficient of static friction between the block and the wall is 0.270.arrow_forwardIn the figure, a block weighing 23.0 N is held at rest against a vertical wall by a horizontal force of magnitude 61 N. The coefficient of static friction between the wall and the block is 0.55, and the coefficient of kinetic friction between them is 0.38. In six experiments, a second force P is applied to the block and directed parallel to the wall with these magnitudes and directions: (a)35 N, up, (b) 13 N, up, (c)48 N, up, (d)62 N, up, (e)9.1 N, down, and (f)19 N, down. In each experiment, what is the frictional force on the block, including sign? Take the direction up the wall as positive, and down the wall as negative. Next, calculate the acceleration, including sign, of the block in each case. Note that acceleration is zero if the block does not move. (g) What is the acceleration in (a)? (h) What is the acceleration in (b)? (i) What is the acceleration in (c)? (i) What is the acceleration in (d)? (k) What is the acceleration in (e)? (1) What is the acceleration in (f)?arrow_forwardA block is resting on an incline of slope 3:4. It is subjected to a force T=350 N on a slope of 5:12. Determine the x and y component of a force T and find the components of force T parallel and perpendicular to the incline.arrow_forward
- A 12 N horizontal force F pushes a block weighing 5.3 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.61, and the coefficient of kinetic friction is 0.48. Assume that the block is not moving initially. (a) Will the block move? ("yes" or "no") |(b) In unit-vector notation what is the force on the block from the wall?arrow_forwardOn a horizontal plane a block of mass m = 0.30 kg is placed and initially held at rest. To this block a massless string is attached and it initially keeps another block of mass M = 0.50 kg vertically at rest via a fixed pulley as shown in Figure. The coefficient of kinetic friction between the block m and the plane is Pk -0.25, but the friction between the block M and the vertical wall is zero. Calculate the tension T by string in N. (Hint: First calculate the acceleration of m or M. And set up the equation of motion for M to find the tension T.) T m Marrow_forwardA large box of mass 11.4 kg sits on a ramp that makes an angle of 30.1 degrees with the horizontal. The surface of the ramp is rough and the coefficients of static and kinetic friction are given as 0.56 and 0,38, respectively. We exert a force up the ramp (parallel to the ramp surface) so that the box does not move. Calculate the maximum and the minimum magnitude of the force we can exert so that the box does not move. Enter the difference between the maximum and the minimum force values here: Fmax-Fmin (in Newtons). On your paper, show all the forces on free-body diagrams, clearly show your work, your derivation and calculations. Make sure to include your physics-based reasoning.arrow_forward
- A block of weight W=100 is on a rough plane inclined at an angle of 30 degrees with the horizontal. The magnitude of the normal force N1 and the friction F1 when the block is in equilibrium. If the plane was frictionless, find the magnitude of the horizontal force F1, required to keep the block in equilibrium.arrow_forwardA vertical force f is applied to a block of mass m that lies on a floor.What happens to the magnitude of the normal force f on the block from the floor as magnitude F is increased from zero if force f is (a) downward and (b) upward?arrow_forwardA rope exerts a force of 50 N on a box to keep it stationary. If the box is on a plane inclined 25° from the horizontal and the coefficient of static friction is 0.29, calculate the normal force exerted on the box.arrow_forward
- The horizontal force P = 85 N is applied to the upper block with the system initially stationary. The block masses are mĄ = 19 kg and mp = 9 kg. Determine the magnitudes of the frictions forces F₁ (between block A and the ground) and F2 (between blocks A and B) for the following conditions on the coefficients of static friction: (a) ₁ = 0.37,₂ = 0.38 and (b) ₁ = 0.26,2 = 0.48. Assume that the coefficients of kinetic friction are 74 percent of the static values. P Answers: (a) F₁ = (b) F₁ = D B 20⁰ A H₂ μ1 N F₂= N F₂= i i N Narrow_forwardA block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.arrow_forwardA block with a mass m is pushed up an inclined rough surface by a horizontal force F as shown. If the block is being pushed up at a constant speed, find the magnitude of the applied force F, given that theta =35 degrees , m = 5 kg, and the kinetic frictional coefficient between the block and the inclined surface mu_k = 0.2arrow_forward
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