The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2

The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A mass, m₁ = 8.00 kg, is on a 30.0° incline and it is attached to another mass, m₂ = 10.0 kg, on a 60.0° incline. They are attached with a massless rope over a pulley with a moment of inertia, I, and a radius of R = 0.250 m. There is no friction between the table and the blocks. Ignore air friction, too. We are given that my accelerates up the incline at a = 1.00 m/s². (a) Draw a free-body diagram for both masses and the extended free-body diagram for the pulley. (b) Determine T₁ and T₂. (c) Find the net torque acting on the pulley and (d) its moment of inertia.
The wheel of a car has a radius of 0.300 m. The engine ofthe car applies a torque of 240 N*m to this wheel, which does not slip against the road surface. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a counter torque. Moreever, the car has a constatnt velocity, so this counter torque balances the applied tourque. What is the magnitude of the static frictional force?
Two boxes are connected to a string, and the string hung over a pulley connected to the ceiling, as shown in the figure below. MOR The masses of the boxes are m₁ = 18.0 kg and m₂ = 11.0 kg, the mass of the pulley is M = 5.00 kg, and the radius of the pulley is R = 0.300 m. Box m₂ is initially on the floor, and box m₁ is initially 4.80 m above the floor when it is released from rest. The pulley's axis has negligible friction. The mass of the string is small enough to be ignored, and the string does not slip on the pulley, nor does it stretch. (a) How much time (in s) does it take box m₁ to hit the floor after being released? At₁ = S (b) How would your answer to part (a) change if the mass of the pulley were neglected? (Enter the time, in seconds, it takes box m₁ to hit the floor if the mass of the pulley were neglected.) At₂ = Need Help? Read It
A block of mass m1 = 2.40 kg and a block of mass m2 = 5.55 kg are connected by amassless string over a pulley in the shape of a solid disk having radius R = 0.250 mand mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of θ = 30.0°as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks.Use ∑ ? = ??, ∑ ?⃗ = ?� (a) Draw force diagrams of both blocks and of the pulley.(b) Determine the acceleration of the two blocks.(c) Determine the tensions in the string on both sides of the pulley.left of the pulleyright of the pulley
The two blocks have weights of 5 lb (horizontal motion) and 2 lb (vertical motion). The radius of the pulley is 0.55 ft it and the moment of inertia about its axis is I = 0.4 slug-ft². The coefficient of friction between the 5-lb weight and the horizontal surface is k = 0.2. (Figure 1) Figure 5 lb A B 2 lb
Two buckets of mass mj 21.1 kg and m2 13.1 kg are attached to the ends of a massless rope which passes over a pulley with a mass of m, = 9.13 kg and a radius of = 0.150 m. Assume that the rope does not slip on the 'p pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance do 1.75 m above the ground when it is released, with what speed v will it hit the ground? 1 speed of bucket: m/s 2
The block on a smooth inclined plano is moving down with a constant acceleration of 6 mis². The block on the inclined plane is 37 kg and the hanging mass is 15 kg. The radius of the pulley is 0.34 m. The angle theta is 24 degreas. Determine the moment of inoria of the pulley. ROUND OFF FINAL ASWER UP TO 2 DECIMAL PLACES. INPUT THE NUMBER ONLY.
A block of mass m, = 1.65 kg and a block of mass m, = 5.85 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 e = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. М, R m My (a) Draw force diagrams of both blocks and of the pulley. Choose File No file chosen This answer has not been graded yet. (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) m/s? (c) Determine the tensions in the string on both sides of the pulley. left of the pulley right of the pulley N
The crane shown in the figure is lifting a 437-kg crate upward with an acceleration of 3.65 m/s². The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 219 kg. The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is 258 kg, and its radius (the same as that of the pulley) is 0.305 m. The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable. Number Units Drum Pulley Boom
A block of mass m1 = 1.55 kg and a block of mass m, = 6.25 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 0 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. М, R m1 (a) Draw force diagrams of both blocks and of the pulley. Choose FileNo file chosen This answer has not been graded yet. (b) Determine. the acceleration of the two blocks. (Enter the magnitude of the acceleration.) Enter a number. uation describing the angular acceleration of the pulley and the acceleration of the blocks? m/s2 (c) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley N
A uniform rod of mass m, = 153 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r, = 10.0 cm and r, = 90.0 cm mark, passed over pulleys, and masses of m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend mass m3 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, %3D what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to…
A block of mass m1 = 2.05 kg and a block of mass m2 = 6.40 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 the figure. The coefficient of kinetic friction is 0.360 for both blocks.