Concept explainers
Figure P7.36 shows two thin beams joined at right angles. The vertical beam is 15.0 kg and 1.00 m long and the horizontal beam is 25.0 kg and 2.00 m long.
Figure P7.36
a. Find the center of gravity of the two joined beams. Express your answer in the form (x, y), taking the origin at the corner where the beams join.
b. Calculate the gravitational torque on the joined beams about an axis through the corner. The beams are seen from the side.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
College Physics: A Strategic Approach Technology Update, Books A La Carte Edition (3rd Edition)
Additional Science Textbook Solutions
University Physics Volume 2
University Physics (14th Edition)
Tutorials in Introductory Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Cosmic Perspective Fundamentals
College Physics (10th Edition)
- Children playing pirates have suspended a uniform wooden plank with mass 15.0 kg and length 2.50 m as shown in Figure P14.27. What is the tension in each of the three ropes when Sophia, with a mass of 23.0 kg, is made to walk the plank and is 1.50 m from reaching the end of the plank? FIGURE P14.27arrow_forwardThe fishing pole in Figure P8.3 makes an angle of 20.0 with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=1.00102N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P8.3arrow_forwardFind the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23arrow_forward
- An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4.0 kg. What is the magnitude of the gravitational torque about his shoulder if he holds his arma. Straight out to his side, parallel to the floor?b. Straight, but 45° below horizontal?arrow_forwardAt a particular instant, a 1.0 kg particle's position is r = (4.0î − 2.0ĵ + 3.0) m, its velocity is v = (−1.0î + 2.0ĵ + 1.0) m/s, and the force on it is F = (12.0î + 17.0ĵ) N. (Express your answers in vector form.) (a) What is the angular momentum (in kg · m2/s) of the particle about the origin? (b) What is the torque (in N · m) on the particle about the origin? (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg · m2/s2)?arrow_forward38 - The fishing line in the figure makes an angle of 20.0 ° with the horizontal. What is the torque exerted by the fish with respect to an axis perpendicular to the plane of the page and passing through the mouth of the fish? (sin57 = 0.83, cos37 = 0.79) A) 125 N.mB) 168.2 N.mC) 112 N.mD) 332 N.mE) 142.6 N.marrow_forward
- Q13 A particle is located at the position vector r = (5.00î + 8.00ĵ) m and a force exerted on it is given by F = (4.00î + 3.00ĵ) N. What is the torque acting on the particle about the origin?arrow_forwardThe figure shows a uniform square plate from which four identical squares at the corners will be removed. Where is the center of gravity after the removal of squares 1, 2 nd 3?Immersive Reader a) origin b) first quadrant c) third quadrant d) x axis to the right of the originarrow_forwardA 15.0 kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 m in diameter with mass 12.0 kg. The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 10.0 m to the water. (a) What is the tension in the rope while the bucket is falling? (b) With what speed does the bucket strike the water? (c) What is the time of fall? (d) While the bucket is falling, what is the force exerted on the cylinder by the axle?arrow_forward
- Find the x - and y -coordinates of the center of gravity for the boomerang in Figure P8.12a. modeling the boomerang as in Figure P8.12b, where each uniform leg of the model has a length of 0.300 m and a mass of0.250 kg. (Note: Treat the legs like thin rods.)arrow_forwardThe fishing pole in Figure P8.3 makes an angle of 20.0 with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=1.00102N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P8.3arrow_forwardWhen a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure P8.24a. The total gravitational force on the body, Fg, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure P8.24b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and when Fg = n = 700. N. Figure P8.24arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College