A mobile is formed by supporting four metal butterfliesof equal mass m from a string of length L. The points ofsupport are evenly spaced a distance l apart as shown inFigure P5.54. The string forms an angle 0, with the ceilingat each endpoint. The center section of string is horizon-tal. (a) Find the tension in each section of string in termsof 0,, m, and g. (b) In terms of 0,, find the angle 0, that thesections of string between the outside butterflies and theinside butterflies form with the horizontal. (c) Show thatthe distance D between the endpoints of the string isLD =2 cos 0, + 2 cos[un "( an 0,] + 1co[an (} tan 0,] + 1D0,mL = 5€mmmFigure P5.54

The mass of metal butteries is m, the length of the string is L, the distance of the point of…

Answered: A mobile is formed by supporting four…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 42P

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A bag of cement whose weight is Fg hangs in equilibrium from three wires as shown in Figure P5.33. Two of the wires make angles θ1 and θ2 with the horizontal. Assuming the system is in equilibrium, show that the tension in the left-hand wire is SNIPP
A fisherman is fishing from a bridge and is using a "30.0-N test line." In other words, the line will sustain a maximum force of 30.0 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically, when the line is reeled in (a) at constant speed and (b) with an acceleration whose magnitude is 2.16 m/s2?
Two blocks each of mass m = 3.50 kg are fastened to thetop of an elevator as in Figure P4.56. (a) If the elevator has anupward acceleration a = 1.60 m/s2, find the tensions T1 andT2 in the upper and lower strings. (b) If the strings can withstanda maximum tension of 85.0 N, what maximum accelerationcan the elevator have before the upper string breaks?
Compute the weight of a 75 kg space ranger (a) on Earth, (b) on Mars, where g = 3.7 m/s2, and (c) in interplanetary space, where g = 0. (d) What is the ranger’s mass at each location?
In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t=0in a bottle of liquid shampoo. The terminal speed is observed to be 2.00 cm/s. Find (a) the value of the constant bin the equation v=mgb(1ebt/m), and (b) the value of the resistive force when the bead reaches terminal speed.
Consider Figure 5.28. The driver attempts to get the car out of the mud by exerting a perpendicular force of 610.0 N, and the distance she pushes in the middle of the rope is 1.00 m while she stands 6.00 m away from the car on the left and 6.00 m away from the tree on the right. What is the tension Tin the rope, and how do you find the answer?
Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43
A 9.00-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table (Fig. P5.7). Taking the coefficient of kinetic friction as 0.200, find the tension in the string. Figure P5.7
By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?
vy chandelier with mass 125 kg is hung by chains in equilibrium from the ceilingof a concert hall as shown in Figure P5.77, with θ1 = 37.0° and θ 2 = 64.0°. Assuming thechains are massless, what are the tensions FT1, FT2, and FT3in the three chains?
What horizontal force must be applied to a large block of mass M shown in Figure P5.49 so that the tan blocks remain stationary relative to M? Assume all surfaces and the pulley are frictionless. Notice that the force exerted by the string accelerates m2.
A 65-kg stuntman is trying to cross a busy street, using a rope over the street. At some point on the way he stops, as shown. Find the tensions (a) on the left side of the rope, and (b) on the right side of the rope, when the angles are ?= 800and ?= 700.

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