Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 70P
To determine
The magnitude of the 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.
An airplane of mass m travels in a vertical circle of radius r at constant velocity v. At what angle θ, measured from the lowest point of the circle formed by the airplane, where the net force on the airplane is horizontal?
A 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.
Chapter 4 Solutions
Physics for Scientists and Engineers
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- The wedge supports a mass m and between them there is a coefficient of friction µk. The wedge with the floor is frictionless. For the wedge to slide to the right, the inequality must be fulfilled:arrow_forwardThe diagram shows a block of mass m = 3.50 kg resting on a plane inclined at an angle of 0 = 40° to the horizontal. The coefficient of static friction between the block and the plane is μstatic = 0.30, and the block is stationary but just on the point of sliding down the slope. Ff F₁ 3 mg N 0 The diagram shows the four forces acting on the block: an applied force F₁ acting perpendicular to the slope (in the -y direction), 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 up the slope, opposing the tendency of the block to move down the slope. Find the the minimum 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.arrow_forwardA block weighing 200 N rests on a plane inclined upward tothe right at a slope of 4 vertical to 3 horizontal, The block isconnected to a cable Initially parallel to the plane, passingthrough the pulley and connected to another block weighing100 N moving vertically downward. The coefficient of kineticfriction between the 200 N block and the inclined plane is 0.10.Compute the tension and its acceleration.arrow_forward
- The figure shows an overhead view of a 0.026 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F has a magnitude of 3N and is at e, - 31. Force F2 has a magnitude of 10 N and is at 02- 33". In unit-vector notation, what is t third force if the lemon half (a) is stationary, (b) has the constant velocity V (137-14) m (12h- 14) m/s?, where t is time? %3D and (c) has the V = %3Darrow_forwardA crate of mass m moves up an inclined plane under the action of the force F, with constant speed v. Find the coefficient of kinetic friction between the crate and the surface ( M).arrow_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 8.0 kg, is attached to the dangling end of the string. The acceleration of B is:arrow_forward
- 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_forwardA 3.27 kg block is pushed along a horizontal floor by a force ?→�→ of magnitude 30.0 N at a downward angle θ = 40.0°. The coefficient of kinetic friction between the block and the floor is 0.270. Calculate the magnitudes of (a) the frictional force on the block from the floor and (b) the block’s acceleration.arrow_forwardA bartender slides a mug of root beer with mass m - 2.4 kg down a bar top of length L 1.8 m to an inattentive patron who lets it fall a height h 1.4 m to the floor. The bar top (see figure below) is smooth but still has a coefficient of kinetic friction of HK 0.078. (Assume up and to the right as the positive directions.) (a) If the bartender gave the mug an initial velocity of 2.5 m/s, at what distance D from the bottom of the bar will the mug hit the floor? 0.9996 m (b) What is the mug's velocity (magnitude and direction) as it impacts the floor? Magnitude 75 Direction (counterclockwise from the +x-axis) 68.9 X m/s x ° (c) Draw velocity time diagrams for both the x and y directions for the mug, from the time when the bartender lets: go of the mug to when it hits the floor. Need Help? Read I Submit Answerarrow_forward
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