3. The force F required to move a box by pulling on an attached rope that forms an angle w with thehorizontal is given byfmgF(w) =cOSw + f sin wwhere f, m, g > 0 are all constant.(a) Show that the angle wo that minimizes the required force to set the box in motion is given byarctan(f)(b) Show that this minimal force F(wo) is proportional to (a constant multiple of)

a)Force required to move the box of mass m is,

Answered: 3. The force F required to move a box…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 20P: The leg and cast in Figure P4.40 weigh 220 N (w1). Determine the weight w2 and the angle needed so...

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Similar questions

Two identical strings making an angle of = 30.0 with respect to the vertical support a block of mass m = 15.0 kg (Fig. P4.32). What is the tension in each of the strings?
Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=kN ) is a=g(sinkcos). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (k=0).
For the woman being pulled forward on the toboggan in Figure 4.33, is the magnitude of the normal force exerted by the ground on the toboggan (a) equal to the total weight of the woman plus the toboggan, (b) greater than the total weight, (c) less than the total weight, or (d) possibly greater than or less than the total weight, depending on the size of the weight relative to the tension in the rope?
The leg and cast in Figure P4.40 weigh 220 N (w1). Determine the weight w2 and the angle needed so that no force is exerted on the hip joint by the leg plus the cast. Figure P4.40
Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76
A block of mass 2.63 kg is hung at the midpoint of a string that is attached to the top of a 2-m tall pole at one end and to the top of another 2-m tall pole that is 5 m away at its other end. If due to the weight of the block the string deviates by 6.5º from the horizontal on each side of the block, what is the tension in the string?
A 400-N block is dragged along a horizontal surface at contant velocity by an applied force F at an angle of 36.87 deg above horizontal. The coefficient of kinetic friction is μk = 0.4. The magnitude F of is Choices: 150N 100N 290N 200N 400N SHOw solution
Consider the three forces acting on the box. F1= 20.0N at an angle θ1= 45° measured from the horizontal F2= 5.00 N at an angle θ2= 60° and the weight W= 15.0 N, pulling directly down in the y- direction. What is the net force acting on a box?
The leg and cast in fig p4.40 weight 220n (w1) ,Determine the weight w2 and the angle ∝ needed so that no force is exeted on the hip joinby the leg plus the cast
How much tension must a 28.0 m long wire be able to exert without breaking when it is used to hang an iron sculpture that weighs 2784 N? The wire must be attached to two anchors in the ceiling 16.1 m apart.
If only one force acts on an object, can it be in equilibrium?Explain.
A mobile is formed by supporting four metal butterflies of equal mass m from a stringof length L. The points of support are evenly spaced a distance ℓ apart as shown inFigure P5.54. The string forms an angle θ1 with the ceiling at each endpoint. Thecenter section of string is horizontal. (a) Find the tension in each section of string interms of θ1, m, and g. (b) In terms of θ1, find the angle θ2that the sections of stringbetween the outside butterflies and the inside butterflies form with the horizontal. (c)Show that the distance D between the endpoints of the string isFigure P5.54

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