Question

Notify Me Bookmark

A block of mass m is released from rest at the top of an inclined plane which has a height h = 1 m and an angle θ = 30∘. Assume the inclined plane and the horizontal plane are smoothly connected and there is no impact on the block when it gets on the horizontal plane. It travels another distance d = 2 m and stops. a) Draw the free-body diagrams when the block is on the inclined plane, and when the block is on the horizontal plane. b) If the coefficients of kinetic friction between the block and both planes are the same, find their magnitude.

A block of mass m is released from rest at the top of an inclined plane which has a height h = 1 m and an angle θ = 30∘. Assume the inclined plane and the horizontal plane are smoothly connected and there is no impact on the block when it gets on the horizontal plane. It travels another distance d = 2 m and stops. a) Draw the free-body diagrams when the block is on the inclined plane, and when the block is on the horizontal plane. b) If the coefficients of kinetic friction between the block and both planes are the same, find their magnitude.

Image text
  1. A block of mass m is released from rest at the top of an inclined plane which has a height h = 1 m and an angle θ = 30 ∘ . Assume the inclined plane and the horizontal plane are smoothly connected and there is no impact on the block when it gets on the horizontal plane. It travels another distance d = 2 m and stops. a) Draw the free-body diagrams when the block is on the inclined plane, and when the block is on the horizontal plane. b) If the coefficients of kinetic friction between the block and both planes are the same, find their magnitude.

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, labeled A and B, are connected by a massless string that runs over a massless and frictionless pulley. Block A is sliding up along an inclined plane with ordinary surface friction. The string from block A runs over the pulley and then to block B which hangs straight down. At the start of the experiment, block A is sliding up the plane and block B is moving downward, both at a speed of v0 = 1.5 m/s. Block A has a mass of 3.3 kg. Block B has a mass of 1.4 kg. The plane is inclined at an angle of 27 degrees above horizontal. The coefficient of kinetic friction between block A and the plane is 0.36 (no units). Assume that the only significant forces on the blocks are normal forces, tensions forces, friction from the inclined plane, and gravity (with g = 9.81 m/s2 ). From the start of the experiment, when block A is sliding up the plane at a speed of 1.5 m/s, how far (in units of meters) does block A slide before coming to a stop? Just one more "show your work" after this one. You will need to submit your solution for this question.
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

A crate of mass m is initially at rest at the highest point of an inclined plane which has a height of 6.83 m and has an angle of θ = 30.7∘ with respect to the horizontal. After it has been released, it is found to be traveling at v = 0.64 m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance, d, in meters. d = m
Solution
0 0