Question

Notify Me Bookmark

Weights 800 N and 400 N are connected by a thread and move along a rough horizontal plane under the action of a force of 500 N applied to 800 N weight as shown in Fig 12. The coefficient of friction between the sliding surface of the weights and the plane is μ = 0.25. Determine the acceleration of the weights and tension in the thread, using work-energy equation. Fig. 12

Weights 800 N and 400 N are connected by a thread and move along a rough horizontal plane under the action of a force of 500 N applied to 800 N weight as shown in Fig 12. The coefficient of friction between the sliding surface of the weights and the plane is μ = 0.25. Determine the acceleration of the weights and tension in the thread, using work-energy equation. Fig. 12

Image text
Weights 800 N and 400 N are connected by a thread and move along a rough horizontal plane under the action of a force of 500 N applied to 800 N weight as shown in Fig 12. The coefficient of friction between the sliding surface of the weights and the plane is μ = 0.25 . Determine the acceleration of the weights and tension in the thread, using work-energy equation. Fig. 12

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Two blocks A and B with masses mA = 10 kg and mB = 4 kg are connected by an inextensible cable and released from rest shown in Figure 1 (where block A is placed in position C ). The coefficients of kinetic friction between two blocks and the 30∘ inclined plane are μA = 0.1 and mB = 0.3. The cable is in tension in the entire motion and the sizes of blocks are negligible. (Take gravitational acceleration as 10 m/s2) (a) Draw separate free body diagrams of blocks A and B. Indicate clearly all the forces, directions of motion and coordinate systems. [4 marks] b) Based on the free body diagrams in part (a), establish the equations of motion for blocks A and B and determine the tension in the cable between two blocks. [12 marks] (c) Determine the time required for block A to move 2.5 m from positions C to D along the incline and the velocity of block A when it reaches position D. [4 marks] Figure 1
Solution
0 0

As shown in Figure 3(a), a wooden block B with mass mB = 2.4 kg on a rough inclined plane is connected to a massless spring ( k = 160 N/m ) by a massless cord passing over a pulley P of radius R = 0.25 m and mass Mp = 0.60 kg. The angle of the inclined plane is θ = 37∘ and the coefficients of static and kinetic frictions are μs = 0.35 and μk = 0.30 respectively. The frictional force at the axle of the pulley is negligible. The pulley can be regarded as a solid disk. (a) The system is at rest and in this case, block B is on the verge of sliding down. Figure 3(a) i. Indicate (with labeled arrows) the forces acting on the pulley and the block. ii. Calculate the tension in the string and the extension of the spring. (You can assume that the tensions in the cord on either side of the pulley P are the same for this part.) (b) As shown in Figure 3(b), another wooden block A of mass mA = 1.2 kg made of the same material as block B is released from rest. It slides down a distance l down the rough inclined plane and collides with block B. The two blocks stick together and move down the incline with a common velocity v = 0.80 m/s immediately after collision and the pulley rotates. The cord does not stretch and does not slip on the pulley. Figure 3(b) i. Determine the distance l. ii. Determine the acceleration of the two blocks at the moment they move down together and the pulley starts to rotate. iii. Determine how much further down the slope the two blocks move together after they collide before the two blocks come to a momentary rest.
Solution
0 0

Three masses (m1 = 2.00 kg, m2 = 1.00 kg, and m3 = 5.00 kg) are connected with inextensible ropes of negligible mass, as shown in the figure. The pulley is massless and frictionless, and the coefficient of kinetic friction between m1 and the incline (θ = 40.0∘) is μ = 0.300. The block of mass m3 moves downward when a force F = 100 N is applied on it. Find: (a) the acceleration of each block, and (b) the tension in each string.
Solution
0 0