Concept explainers
Review. A block of mass m1 = 2.00 kg and a block of mass m2 = 6.00 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of θ = 30.0° as shown in Figure P10.16. The coefficient of kinetic friction is 0.360 for both blocks. (a) Draw force diagrams of both blocks and of the pulley. Determine (b) the acceleration of the two blocks and (c) the tensions in the string on both sides of the pulley.
Figure P10.16
Trending nowThis is a popular solution!
Chapter 10 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
- The puck in Figure P11.46 has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 40.0 cm, and the puck is sliding with a speed of 80.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. (Suggestion: Consider the change of kinetic energy.) Figure P11.46arrow_forwardReview. A block of mass m1 = 2.00 kg and a block of mass m2 = 6.00 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of = 30.0 as shown in Figure P10.72. The coefficient of kinetic friction is 0.360 for both blocks. (a) Draw force diagrams of both blocks and of the pulley. Determine (b) the acceleration of the two blocks and (c) the tensions in the string on both sides of the pulley. Figure P10.72arrow_forwardA 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 54.0 cm. Express your answer in revolutions per minute.arrow_forward
- A bowler uses a lane with a coefficient of kinetic friction of 0.133. The bowler releases her 4.65 kg bowling ball with a translational speed of 3.20 m/s. At the moment of release, the ball is not rotating. As the ball slides, it begins to rotate. What is the work Wnc done by friction on the ball before it transitions to rolling without slipping? Use g = 9.81 m/s² for the acceleration due to gravity. Wnc =arrow_forwardA semi-cylindrical groove of radius r = 20 cm is made on a horizontal floor. An ant wants to cross the groove. A boy decides to help the ant making a bridge consisting of straight wire segments. But all the wires available are of length l = 38 cm, so the boy rigidly connects two wires at right angle and places the bridge in the groove as shown in the figure. If the ant can crawl up a wire segment at speed v = 0.5 cm/s and down a wire segment at speed 2v, in what minimum time can the ant cross the groove with the help of this bridge?arrow_forwardI'm struggling to understand how to do this: A block of mass m1 = 1.55 kg and a block of mass m2 = 6.05 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of θ= 30.0°. The coefficient of kinetic friction is 0.360 for both blocks. Use g=9.8 m/s2. (a) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) (b) Determine the tensions in the string on both sides of the pulley (left side and right side).arrow_forward
- A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.765 m and 1.27 kg respectively. A force of constant magnitude ?F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of ?F that will accelerate the rod from rest to an angular speed of 6.21 rad/s in 9.91 sarrow_forwardThe engine of the bus applies a torque of 533 N · m to a wheel of radius 0.2 m. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a counter-torque. Moreover, the bus has a constant velocity, so this counter-torque balances the applied torque. What is the magnitude of the static frictional force?arrow_forwardAn object starts from rest at the top of an inclined plane and moves down. Friction and air resistance can be ignored. Assume that the object is sliding, but not rolling, so its rotational kinetic energy is O J. The plane is inclined at an angle of 30.0 degrees from the horizontal and its length is 1.80 m. What is the object's speed when it is located at the bottom of the inclined plane? Use g = 9.80 m/s² as the magnitude of the acceleration due to gravity. Jumarrow_forward
- A solid cylinder (LaTeX: I\:=\frac{\:1}{2}MR^2 I = 1 2 M R 2 ) potter's wheel is a thick stone of radius 7 m with mass 5 kg. It freely rotates at 9 radian per second. The potter press a wet rag against the rim and exert a radially inward force of 10 N. If the coefficient of kinetic friction between the rag and the wheel is 0.6, find the time needed for the wheel to stop in seconds.arrow_forwardA uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.773 m and 1.27 kg, respectively. A force of constant magnitude F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of F that will accelerate the rod from rest to an angular speed of 6.05 rad/s in 8.43 s. F = about us careers privacy policy terms of use contact us help tv MacBook Airarrow_forwardWhat? This problem again? Not exactly. A block with mass m,ị = 3.00 kg sits on a horizontal table and is attached to a rope. The rope then passes over a MASSIVE pulley this time and is attached to a block of mass m2 = 2.00 kg, which hangs vertically (see picture). The coefficient of kinetic friction of the interface between the table and m, is 0.1. You may assume the pulley section is a disk with a mass of 2 kg. We will keep the pulley frictionless for brevity. Ideal disk pulley with mass Find the acceleration of the blocks using your choice of either Newton's Laws or the energy conservation method. Yes, I can actually read your minds from here; of 2 kg and the answer is no, you do not need the radius of the pulley.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning