Question

Notify Me Bookmark

In the figure, a T-bar ski tow pulls a skier up a hill inclined at 10∘ above horizontal. The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30∘ above the surface of the hill. The mass of the skier is 60 kg and the effective coefficient of kinetic friction between the skis and the snow is 0.18. What is the maximum tension in the cable (in N) if the starting acceleration is not to exceed 4.90 m/s2?

In the figure, a T-bar ski tow pulls a skier up a hill inclined at 10∘ above horizontal. The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30∘ above the surface of the hill. The mass of the skier is 60 kg and the effective coefficient of kinetic friction between the skis and the snow is 0.18. What is the maximum tension in the cable (in N) if the starting acceleration is not to exceed 4.90 m/s2?

Image text
In the figure, a T-bar ski tow pulls a skier up a hill inclined at 10 ∘ above horizontal. The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30 ∘ above the surface of the hill. The mass of the skier is 60 k g and the effective coefficient of kinetic friction between the skis and the snow is 0.18 . What is the maximum tension in the cable (in N ) if the starting acceleration is not to exceed 4.90 m / s 2 ?

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

Figure 1 Robin is pushing a crate up an inclined plane. Robin pushes with a force of FRC which is parallel to the plane. Robin moves the crate a distance d (measured parallel to the plane). There is ordinary surface friction between the crate and the plane. This question refers to the situation shown in Figure 1, above. Robin pushed the crate with a constant force and the crate moved at constant speed. The crate moved a distance d = 3.37 meters. The crate has a mass of 21.5 kg and the plane is inclined at an angle of 38.5 degrees above horizontal. The coefficient of kinetic friction between the crate and the plane is 0.22 . Assume the only forces acting on the box are the force exerted by Robin, the forces exerted by the inclined plane (this includes friction), and gravity (with g = 9.81 m/s2. Calculate the work done (in units of joules) on the crate by the inclined plane via the friction force (and only via the friction force) as the crate moved a distance d. (The sign of your answer, positive or negative, is important.)Figure 1 Robin is pushing a crate up an inclined plane. Robin pushes with a force of FRC which is parallel to the plane. Robin moves the crate a distance d (measured parallel to the plane). There is ordinary surface friction between the crate and the plane. This question refers to the situation shown in Figure 1, above. Robin pushed the crate with a constant force and the crate moved at constant speed. The crate moved a distance d = 3.37 meters. The crate has a mass of 21.5 kg and the plane is inclined at an angle of 38.5 degrees above horizontal. The coefficient of kinetic friction between the crate and the plane is 0.22 . Assume the only forces acting on the box are the force exerted by Robin, the forces exerted by the inclined plane (this includes friction), and gravity (with g = 9.81 m/s2. Calculate the work done (in units of joules) on the crate by the inclined plane via the friction force (and only via the friction force) as the crate moved a distance d. (The sign of your answer, positive or negative, is important.)
Solution
0 0

3.82 kg water skier is being accelerated by a ski boat on a flat ("glassy") lake. The coefficient of kinetic friction between the skier's skis and the water surface is μk = 0.34. (a) What is the skier's acceleration if the rope pulling the skier behind the boat applies a horizontal tension force of magnitude FT = 340 N to the skier (θ = 0∘)? (b) What is the skier's horizontal acceleration if the rope pulling the skier exerts a force of FT = 340 N on the skier at an upward angle θ = 14.5∘?
Solution
0 0