EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 4, Problem 66P
(a)
To determine
The free body diagram for both of the boxes and show that
(b)
To determine
Whether the result of the part (a) is plausible and if the answer makes sense both in the limit that
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A)A block with mass m = 2 kg slides down from a friction less ramp (mu = 0). If the angle theta is 25 degrees, find the acceleration of the block.
B)Find the magnitude of the normal force between the ramp and the block.
(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.
A 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…
Chapter 4 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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
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- A 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 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).arrow_forwardTwo boxes with masses m1= -60.0 kg and m2= -30.0 kg are connected by a light string that passes over a light, frictionless pulley One box rests on a frictionless ramp that rises at 40.0° above the horizontal, and the system is released form rest. (a) Make a force (or free-body) diagram of each of the boxes and include the coordinate system used for each box. (b) Write down Newton's 2ad law for each box in each relevant direction. (c) What is the magnitude of the tension in the string, and the magnitude of the acceleration of the boxes?arrow_forwardA brick of mass M has been placed on a rubber cushion of mass m. Together they are sliding to the right at constant velocity on an ice-covered parking lot. (a) Draw a free-body diagram of the brick and identify each force acting on it. (b) Draw a free-body diagram of the cushion and identify each force acting on it. (c) Identify all of the action– reaction pairs of forces in the brick–cushion–planet systemarrow_forward
- (Figure 1)Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is μ. Find the ratio of the masses m1/m2. Express your answer in terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.arrow_forward1. For the conical pendulum shown below, the bob moves in a horizontal circle of radius r at a constant speed v. The mass of the bob is m. The cord sweeps a cone that makes an angle with respect to the vertical. The x and y axes are shown in the figure with positive x pointing towards the center of the circle and positive y pointing upwards. X 0 T y 3arrow_forwardA book of mass m is pushed against a smooth frictionless wall by a force P that makes an angle 0 the horizontal. Find: a) The normal force on the book. b) The acceleration of the block in terms of P, m, 0, and constants. c) Look at the special values of the angle to see if the above answers make sensearrow_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_forwardProblem : Amass “m" slides with a kinetic friction coefficient of 0.2 on a ramp that has an angle of 40 degrees. (a) Draw the free body diagram for the block and draw your choice of coordinate system. (b) Split up any forces that are not along the coordinate system. (c) Write Newton's second law for X and Y (d) Find the acceleration of the block along the ramp (in the direction parallel to the top part of the ramp). marrow_forwardPlease include the full soln. TYSMarrow_forward
- A block with a mass of m = 45 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 17° measured from horizontal, as shown. 1) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. 2) The two forces change such that F1 = 9.5 N and F2 = 23.5 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.arrow_forwardA block with mass m = 2 kg slides down from a friction less ramp (mu = 0). Angle theta is 25 degrees Acceleration of the block is 4.23 Find the magnitude of the normal force between the ramp and the block.arrow_forwardAn object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45° North of East, F2 = 750 N @ 30° West of North and F3 = 400 N @ 30° South of West. Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium. Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.arrow_forward
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