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On a horizontal air track, a glider of mass m carries a Γ-shaped post. The post supports a small dense sphere, also of mass m, hanging just above the top of the glider on a cord of length L. The glider and sphere are initially at rest with the cord vertical. A constant horizontal force of magnitude F is applied to the glider, moving it through displacement x1; then the force is removed. During the time interval when the force is applied, the sphere moves through a displacement with horizontal component x2. (a) Find the horizontal component of the velocity of the center of mass of the glider–sphere system when the force is removed. (b) After the force is removed, the glider continues to move on the track and the sphere swings back and forth, both without friction. Find an expression for the largest angle the cord makes with the vertical.
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Chapter 9 Solutions
Physics for Scientists and Engineers
- Chapter 06, Problem 026 GO Z Your answer is partially correct. Try again. The figure shows three crates being pushed over a concrete floor by a horizontal force F of magnitude 631 N. The masses of the crates are m, = 31.0 kg, m, = 10.0 kg, and m3 = 20.0 kg. The coefficient of kinetic friction between the floor and each of the crates is 0.700. What is the magnitude F32 of the force on crate 3 from crate 2? Number Units IN the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:46 PM to search ENG 4/4/2021 13) pri sc pause (brea delte 17 insert %23 3 4 5. backspac Rarrow_forwardOn a horízontal air track, a glider of mass m carries a l-shaped post. The post supports a small dense sphere, also of mass m, hanging just above the top of the glider on a cord of length L. The glider and sphere are initially at rest with the cord vertical. (Figure a below shows a cart and a sphere similarly connected.) A constant horizontal force of magnitude F is applied to the glider, moving it through displacement x;; then the force is removed. During the time interval when the force is applied, the sphere moves through a displacement with horizontai component x2. (a) Find the horizontal component of the velocity of the center of mass of the glider-sphere system when the force is removed. (Use the following as necessary: F, x1, x2, and m.) F(x, +x2) VCM 2m (b) After the force is removed, the glider continues to move on the track and the sphere swings back and forth, both without friction. Find an expression for the largest angle the cord makes with the vertical. (Use any variable…arrow_forwardStudents are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. During this experiment does the angular momentum of the block-hanging object system about an axis through the center of the pulley remain constant? Justify your answer.arrow_forward
- Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is mm, where m<M, and the block-hanging object system is released from rest. The hanging object falls for a distance hh, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d>h. Students derive the following equation for the relationship between the distance dd and the height h. (see image) (b) Whether or not this equation is correct, does it match the reasoning below? Justify your answer. if the experiment were repeated where the…arrow_forwardThe figure shows a container of mass m1 = 4.4 kg connected to a block of mass m2 by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 1.3 m/s2 across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m2?arrow_forwardAn athlete pulls box E using an inextensible rope P while being resisted by another inextensible rope S. Let P be the tension force on rope P and S be the tension force on rope S. Consider particle analysis involving only forces P and S. The same athlete now pulls another box E of mass 63kg up an incline. The coefficients of friction between the box and the incline are us=0.32 and µk=0.22. Consider particle analysis of the instant when P = 635N, 0 = 10° and a = 29°. Use the indicated coordinate axes. P 5. Which of the following is closest to the resultant of the friction force f and normal force N? 636N, 39.2deg CW from -x 422N, 72.3deg cW from -x 422 N, 77.6deg CCW from +x 411N, 77.6deg CW from -xarrow_forward
- A chandelier hangs h = 0.74 m down from two chains of equal length. The chains are separated from one another by a length L = 0.85 m at the ceiling. The chandelier has a mass of m = 28 kg. What is the angle, θ in degrees, between one of the chains and the vertical where it contacts the chandelier?arrow_forwardConsider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton'sarrow_forwardStudents are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. At the beginning of the final trial, the string connecting the hanging object and the block is cut. The hanging object collides elastically with the floor and bounces vertically. Describe how high it bounces in terms of h. Justify your answer.arrow_forward
- Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. Students notice that the acceleration due to gravity does not appear in the (d - h) equation in the image and assume that must be a mistake. Do you agree with them? Justify your answer.arrow_forwardStudents are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.arrow_forwardA wedge with mass M rests on a frictionless m horizontal tabletop. A block with mass m is placed on the wedge and a horizontal F force F is applied to the wedge. There M is no friction between the block and the wedge. For a = "/7, what must the magnitude of F be if the block is to remain at a constant height above the tabletop? (g is the magnitude of the gravitational acceleration. Take m = 1 kg, M = 5 kg and g = 10 m/s².) %3D (a) 29 N (b) 35 N (c) 44 N (d) 60 N (e) 104 Narrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning