Two blocks of masses ?1 = 700 ? and ?2 = 1100 ? are connected by...

Two blocks of masses ?₁ = 700 ? and ?₂ = 1100 ? are connected by a cord of negligible mass and hung over a disk- shaped pulley, as shown in the figure. The pulley has a mass of

? = 1.50 ?? and a radius of ? = 14 ??, and rotates about a light- weight axle through its center. The axle itself is hung from the ceiling by two like cords of negligible mass and is held horizontally. The system is released from rest.

Draw a free-body diagram for each of the blocks and the pulley separately. (??)
Find the magnitude of the acceleration of the blocks. (??)
Find the magnitude of the angular acceleration of the pulley. (??)
Find the magnitude of tensions in the cords, ?₁, ?₂, and ?₃. (See the figure.) (??)

Solutions

Expert Solution

* in the torque equation we considered clockwise rotation as positive for simplification. The torque usually be positive for anticlockwise rotation, but this consideration also leads to same equation.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Consider 4 blocks with different masses mi connected by ropes of negligible mass.

use python. Consider 4 blocks with different masses mi connected by ropes of negligible mass. Three of the blocks lie on an inclined plane and the fourth lies in the direction of the gravity vector. The coefficients of friction between the blocks and the inclined plane are µi. The equations of motion governing these four blocks are described by the following system of equations: T1 + m1a = m1g(sin(theta) - µ1*cos(theta)) -T1 + T2 +m2a = m2g(sin(theta) - µ2*cos(theta)) -T2...

1. Suppose we have two blocks of masses m1 and m2. The block with mass m1...

1. Suppose we have two blocks of masses m1 and m2. The block with mass m1 is moving towards block m2 at speed v. After the collision, we measure the total kinetic energy and find that the total kinetic energy after the collision is m2/(m1+m2) less than the kinetic energy before the collision. Find the final speeds of the two blocks. What type of collision is this? 2. Explain, in words, how we know that a freely spinning asteroid in...

two small blocks with masses m and 2m are attached to a spring with negligible mass,...

two small blocks with masses m and 2m are attached to a spring with negligible mass, spring constant k, and has a natural length defined by L. The blocks and the springs rest on a horizontal surface without friction with the block with mass m in frictionless contact with a wall located at x=0. the system is entirely released from rest at t=0 with spring compressed to a length l/2. Determine the linear momentum impulse delivered to the lighter block...

Problem: Two blocks for masses m1 and m2 are stacked on top of each other and...

Problem: Two blocks for masses m1 and m2 are stacked on top of each other and placed on a frictionless, horizontal surface. The surfaces between two blocks is rough and has a coeff of static friction, us. A horiz push of magnitude, F, directed to the right is applied on the bottom block. A. Derive an expression for the maximum horizontal force, F, that can be applied on the bottom block, m1, before the top block m2, begins to slip....

Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light...

Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of v with arrow3m = 1.70 m/s. (a) What is the velocity of the block...

The next two questions refer to the following physical situation: Two blocks (masses m1 = 30...

The next two questions refer to the following physical situation: Two blocks (masses m1 = 30 kg and m2 = 7 kg) sit atop one another as shown below. The coefficient of static friction between the blocks is μs= 0.32. There is no friction between the lower block and the surface on which it rests. A constant external force F is applied to the lower block. What is Fmax, the maximum magnitude of this force such that the upper block does...

Consider that you have two blocks and they are connected to each other with a spring....

Consider that you have two blocks and they are connected to each other with a spring. Block AA has mass 1.00 kgkg, and block BB has mass 3.00 kgkg. The blocks are compressed with a spring SS between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. The spring has force constant 720 N/mN/m and is...

In the figure below the two blocks are connected by a string of negligible mass passing...

In the figure below the two blocks are connected by a string of negligible mass passing over a frictionless pulley. m1 = 10.0 kg and m2 = 4.50 kg and the angle of the incline is θ = 44.0°. Assume that the incline is smooth. (Assume the +x direction is down the incline of the plane.) (a) With what acceleration does the mass m2 move on the incline surface? Indicate the direction with the sign of your answer. (b) What...

Two blocks connected by a string are pushed across a horizontalisurface by a force applied to...

Two blocks connected by a string are pushed across a horizontalisurface by a force applied to one of the blocks as, shown in the figure. The coefficient of kinetic friction between the blocks and the surface is 0.20. If, F 20 N and M1.5 kg, what is the tension in the connecting, string?

Blocks A and B have a masses of 200 kgkg and 250 kgkg , respectively.(Figure 2)...

Blocks A and B have a masses of 200 kgkg and 250 kgkg , respectively.(Figure 2) The coefficient of static friction between A and B and between B and C is 0.210. The coefficient of static friction between the rope and peg E is 0.520. Pulley D rotates freely, and PPP_2 = 26.0 NN . If θθtheta_2 = 60.0 degreesdegrees , what is the smallest magnitude, TTT, of tension, TTT_evec, that causes block B to move?

Subjects