Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 14, Problem 13PQ
To determine
The expression for the angle at which the block is on the verge of tipping.
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A painter stands on a uniform horizontal beam of length L = 6.0 m that is held in equilibrium by support cables attached to the roof as shown in Figure 3. The beam has a weight Wb = 250.0 N and the tensions on the left and the right ends are measured to be Tl = 360.0 N and Tl = 200.0 N respectively. A. Calculate the weight of the painter Wp , and Wb. the distance x where the painter is standing.
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A
4
1 + cos 0
1 - cos 0
G
1 sin
1+ sin 0
m
Figure 1
B
1 - cos
1 + cos 0
1+tan 0
1 tan 0
FA
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(< from the horizontal. The person supporting the upper end at A exerts a force
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0-6 below choose the correct answer.
FAQ
FB
B
Figure 2
(33)
0
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1
tan 0
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FB
From
2
Chapter 14 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 14.1 - A rubber duck floats in a bathtub. Imagine moving...Ch. 14.1 - Prob. 14.2CECh. 14.2 - CASE STUDY Hanging a Plane from a Single Point In...Ch. 14.2 - Prob. 14.4CECh. 14.4 - Imagine two vertical rods initially of equal...Ch. 14 - What Is Static Equilibrium? Problems 13 are...Ch. 14 - Prob. 2PQCh. 14 - Two identical balls are attached to a...Ch. 14 - While working on homework together, your friend...Ch. 14 - Consider the sketch of a portion of a...
Ch. 14 - Prob. 6PQCh. 14 - Prob. 7PQCh. 14 - Prob. 8PQCh. 14 - The keystone of an arch is the stone at the top...Ch. 14 - Prob. 10PQCh. 14 - Stand straight and comfortably with your feet...Ch. 14 - Prob. 12PQCh. 14 - Prob. 13PQCh. 14 - Prob. 14PQCh. 14 - Prob. 15PQCh. 14 - Prob. 16PQCh. 14 - Prob. 17PQCh. 14 - Prob. 18PQCh. 14 - Prob. 19PQCh. 14 - Prob. 20PQCh. 14 - Prob. 21PQCh. 14 - The inner planets of our solar system are...Ch. 14 - Two Boy Scouts, Bobby and Jimmy, are carrying a...Ch. 14 - Prob. 24PQCh. 14 - A painter of mass 87.8 kg is 1.45 m from the top...Ch. 14 - Consider the situation in Problem 25. Tests have...Ch. 14 - Children playing pirates have suspended a uniform...Ch. 14 - Prob. 28PQCh. 14 - Prob. 29PQCh. 14 - A 5.45-N beam of uniform density is 1.60 m long....Ch. 14 - A wooden door 2.1 m high and 0.90 m wide is hung...Ch. 14 - A 215-kg robotic arm at an assembly plant is...Ch. 14 - Problems 33 and 34 are paired. One end of a...Ch. 14 - For the uniform beam in Problem 33, find the...Ch. 14 - Prob. 35PQCh. 14 - A square plate with sides of length 4.0 m can...Ch. 14 - Prob. 37PQCh. 14 - At a museum, a 1300-kg model aircraft is hung from...Ch. 14 - A uniform wire (Y = 2.0 1011 N/m2) is subjected...Ch. 14 - A brass wire and a steel wire, both of the same...Ch. 14 - In Example 14.3, we found that one of the steel...Ch. 14 - A carbon nanotube is a nanometer-scale cylindrical...Ch. 14 - A nanotube with a Youngs modulus of 1.000 1012 Pa...Ch. 14 - Consider a nanotube with a Youngs modulus of 2.130...Ch. 14 - Prob. 45PQCh. 14 - Use the graph in Figure P14.46 to list the three...Ch. 14 - Prob. 47PQCh. 14 - A company is testing a new material made of...Ch. 14 - Prob. 49PQCh. 14 - Prob. 50PQCh. 14 - Prob. 51PQCh. 14 - Prob. 52PQCh. 14 - Prob. 53PQCh. 14 - Prob. 54PQCh. 14 - Prob. 55PQCh. 14 - Prob. 56PQCh. 14 - A copper rod with length 1.4 m and cross-sectional...Ch. 14 - Prob. 58PQCh. 14 - Prob. 59PQCh. 14 - Bruce Lee was famous for breaking concrete blocks...Ch. 14 - Prob. 61PQCh. 14 - Prob. 62PQCh. 14 - Prob. 63PQCh. 14 - A One end of a metal rod of weight Fg and length L...Ch. 14 - Prob. 65PQCh. 14 - A steel cable 2.00 m in length and with...Ch. 14 - Prob. 67PQCh. 14 - Prob. 68PQCh. 14 - Prob. 69PQCh. 14 - Prob. 70PQCh. 14 - Prob. 71PQCh. 14 - Prob. 72PQCh. 14 - Prob. 73PQCh. 14 - We know from studying friction forces that static...Ch. 14 - Ruby, with mass 55.0 kg, is trying to reach a box...Ch. 14 - An object is being weighed using an unequal-arm...Ch. 14 - Prob. 77PQCh. 14 - A massless, horizontal beam of length L and a...Ch. 14 - A rod of length 4.00 m with negligible mass is...Ch. 14 - A rod of length 4.00 m with negligible mass is...Ch. 14 - A horizontal, rigid bar of negligible weight is...Ch. 14 - Prob. 82PQCh. 14 - Prob. 83PQCh. 14 - Prob. 84PQCh. 14 - Prob. 85PQ
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- A 215-kg robotic arm at an assembly plant is extended horizontally (Fig. P14.32). The massless support rope attached at point B makes an angle of 15.0 with the horizontal, and the center of mass of the arm is at point C. a. What is the tension in the support rope? b. What are the magnitude and direction of the force exerted by the hinge A on the robotic arm to keep the arm in the horizontal position? FIGURE P14.32arrow_forwardConsider a nanotube with a Youngs modulus of 2.130 1012 N/m2 that experiences a tensile stress of 5.3 1010 N/m2. Steel has a Youngs modulus of about 2.000 1011 Pa. How much stress would cause a piece of steel to experience the same strain as the nanotube?arrow_forwardTwo Boy Scouts, Bobby and Jimmy, are carrying a uniform wooden tent pole 4.50 m in length and having mass m = 23.0 kg. Bobby is holding the pole 60.0 cm from the back, and Jimmy is holding the pole 40.0 cm from the front. If the pole is held horizontally by the two boys, what is the force Bobby and Jimmy each exert on the beam?arrow_forward
- A rod of length 4.00 m with negligible mass is hinged to a wall. A rope attached to the end of the rod runs up to the wall at an angle of exactly 45, helping support the rod, while a sign of weight 10.0 N is hanging by two ropes attached to the bottom of the rod. The ropes make an angle of exactly 30 with the rod as shown in Figure P14.79. Another sign with a weight of 10.0 N is attached to the top of the rod with its center of mass at the midpoint of the rod. The entire system is in equilibrium. Find the magnitude of the tension in the rope above the rod that is also attached to the wall. FIGURE P14.79 Problems 79 and 80.arrow_forwardA monkey climbs a uniform ladder resting at an angle against a smooth wall and smooth floor. The monkey climbs halfway up ladder (L/2). The lower end of the ladder is connected to the wall by a horizontal rope that is frayed and can support up to a maximum tension. In which case is the rope more likely to break? L. Rope O When the monkey climbs down the ladder to a location L/4. O When the monkey climbs up the ladder to a location 3L/4. O When the monkey stays fixed at its position L/2. MacBook Airarrow_forwardA traffic light hangs from a pole as shown in the figure ( Figure 1). The uniform aluminum pole AB is 7.40 m long and has a mass of 11.0 kg. The mass of the traffic light is 23.0 kg. Determine the tension in the horizontal massless cable CD. Figure 3.80 m C 37° A T = 距 ΑΣΦ Submit Request Answer Part B ? N Determine the vertical component of the force exerted by the pivot A on the aluminum pole. ΜΕ ΑΣΦ 1 of 1 Fp,vertical = B Submit Request Answer 000 Part C ? N Determine the horizontal component of the force exerted by the pivot A on the aluminum pole. Fp,horizontal= ΜΕ ΑΣΦ ? Narrow_forward
- a. A 1200-N uniform boom of length 2.00 m is supported by a cable, as shown in the figure. The boom is pivoted at the bottom, and a 2000-N weight hands from its top. Find the tension in the cable and the components of the reaction force exerted on the boom by the floor. For the next two parts you can assume that the 2000-N weight is concentrated at the top end of the boom. b. Determine the total moment of inertia of the boom/weight system around the pivot point. c. The cable now breaks, and the boom pivots until the right end hits the floor. Determine the velocity of the right end at the instant before it hits the floor.arrow_forwardA beam with length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board. A. In order to find the tension in the string, which point should we select to write ?(a)Top left end of the beam(b)Point where wire is connected to the beam.(c)Middle of the beam (where mg acts).Bottom right end of the beam(d) Use the point you identified in C to calculate the tension in the string.arrow_forwardIn the figure, a uniform plank, with a length L and a weight of W, rests on the ground and against a frictionless roller at the top of a wall of height h. The plank remains in equilibrium for any value of 000 or more, but slips if = 000. Find the coefficient of static friction between the plank and the ground. NOTE: Give your answer in terms of the variables given. flg = L 0 Roller harrow_forward
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