Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 9, Problem 52P
To determine
To Compute:Moment of inertia of both beaters and the one which is better.
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A tightrope walker is walking between two buildings holding a pole with length ?=14.5 m and mass ?p =19.5 kg. The daredevil grips the pole with each hand a distance ?=0.590 m from the center of the pole. A bird of mass ?b =565 g lands on the very end of the left‑hand side of the pole.
Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force ?left and ?right must the left and right hand exert to counteract the torque of the bird?
of Sides a and b has a mass M. Four point-like balls, each of rnass m =
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M are glued to
rotation is through the end of one sidt, like a door, as indicated in the figure by the blue fine?
(A) Isoor=M (a² + b²)
(B) Isoor= M(a² + b)
(C) Idoor
M(a² + b*)
(D) Isoor = }M(a²+8)
(F) Isoor = Ma²
%3D
(G) Isoor
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%3D
(H) Idor
Ma²
A rectangular plate with four umall point-like balls glued to
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Homework 2: The beam with length L
90 cm is subjected to the
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300 N
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200 N
A
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Chapter 9 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10P
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- Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater is approximated as a cylinder that has a 0.110-m radius. b) The skater with arms extended is approximated by a cylinder that is 52.5 kg, has a 0.110-m radius, and has two 0.900-m-long arms which are 3.75 kg each and extend straight out from the cylinder like rods rotated about their ends.arrow_forwardProblem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass. Part (a) First calculate the moment of inertia (in kg m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 m. sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Now calculate the moment of inertia of the skater (in kg m?) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.arrow_forwardTwo barbells are sitting on the floor at the RWC. Both consist of a 10 kg bar with length 1.5 m, and two 25 kg plates. On the first barbell, both plates are located at the same end of the bar, while on the second barbell they are located at opposite ends. Which barbell has a larger moment of inertia? O The barbell with both weights at the same end The barbell with the two weights located at opposite ends O Both have the same moment of inertia O Neither bar bell has a moment of inertia, since they aren't rotating O There isn't enough information to tell, since the moment of inertia depends on the choice of rotational axisarrow_forward
- A gate is held in the position shown by cable AB. If the tension in the cable is 7.10 kN, determine the moment Mo made by the tension (as applied to point A) about the pivot point O of the gate. B 0.17 m A 6.7 m 6.1 m 0658 0.16 m 2.1 m Answer: Mo = i i+ i j+ i k)kN-marrow_forwardMultiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.068 kg-m² (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 4.6 m/s in 0.10 s, starting from rest. Number Units Axis at elbow joigt M 0.28 m 0.025 marrow_forwardMultiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.077 kg-m2 (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 3.1 m/s in 0.13 s, starting from rest. 0.28 m Axis at elbow joint 0.025 m Number i Unitsarrow_forward
- A tightrope walker is walking between two buildings holding a pole with length ?=18.0 m,L=18.0 m, and mass ??=17.0 kg.mp=17.0 kg. The daredevil grips the pole with each hand a distance ?=0.560 md=0.560 m from the center of the pole. A bird of mass ??=515 gmb=515 g lands on the very end of the left‑hand side of the pole. Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force ?leftFleft and ?rightFright must the left and right hand exert to counteract the torque of the bird?arrow_forwardTwo barbells are sitting on the floor at the RWC. Both consist of a 10 kg bar with length 1.5 m, and two 25 kg plates. On the first barbell, both plates are located at the same end of the bar, while on the second barbell they are located at opposite ends. Which barbell has a larger moment of inertia? A The barbell with both weights at the same end B The barbell with the two weights located at opposite ends C Both have the same moment of inertia D Neither bar bell has a moment of inertia, since they aren't rotating E There isn't enough information to tell, since the moment of inertia depends on the choice of rotational axisarrow_forwardAngela is an Olympic figure skater. At the end of her performance, she spun. Her weight is 53 kg, and her intal moment of inertia and angular velocity are 3.0 kg m and 0.5 revis, respectively. Find Angela's intial and final kinetic energy as she pulls her arms in to her stomach if her final moment of inertia is 2.2 kg m after 1.1s. Before Afterarrow_forward
- Everyone's favorite flying sport disk can be approximated as the combination of a thin outer hoop and a uniform disk, both of diameter ?d=0.273 m. The mass of the hoop part is ?h=0.130 kg and the mass of the disk part is ?d=0.040 kg. Imagine making a boomerang that has the same total moment of inertia around its center as the sport disk. The boomerang is to be constructed in the shape of an "X," which can be approximated as two thin, uniform rods joined at their midpoints. If the total mass of the boomerang is to be ?b=0.255 kg, what must be the length ?b of the boomerang?arrow_forwardAssume 1.4 kg, 3.5 kg, and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the x axis. Figure 0.50 m | m -0.50 m M Axis 1.50 m m M 1 of 1 Part A Calculate the moment of inertia of the array of point objects shown in the figure(Figure 1) about the y axis. Express your answer to two significant figures and include the appropriate units. μÅ I= Submit Part B I = Submit Part C Value Calculate the moment of inertia of the array of point objects about the x axis. Express your answer to two significant figures and include the appropriate units. μÅ Request Answer ☐ Value Submit Request Answer about the horizontal axis about the vertical axis Units Previous Answers wwwwwww Units About which axis would it be harder to accelerate this array? ? ?arrow_forwardMultiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.062 kg-m? (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 4.5 m/s in 0.14 s, starting from rest. 0.28 m Axis at elbow joint 0.025 m Number i Unitsarrow_forward
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