Question

Notify Me Bookmark

A crate of mass m = 57.1 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F = 38 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of ϕ = 37∘ with horizontal, as shown. 50% Part (a) Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and ϕ. 50% Part (b) What is the magnitude of the acceleration of the crate in m/s2?

A crate of mass m = 57.1 kg is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F = 38 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of ϕ = 37∘ with horizontal, as shown. 50% Part (a) Write an expression for the magnitude of the acceleration of the crate in terms of F, m, and ϕ. 50% Part (b) What is the magnitude of the acceleration of the crate in m/s2?

Image text
1 0 % ) Problem 3: A crate of mass m = 57.1 k g is on a horizontal surface. Assume there is no friction between the crate and the surface. Two forces with magnitude F = 38 N are applied to the crate, as shown. One force is horizontal, and the other makes and angle of ϕ = 37 ∘ with horizontal, as shown. 50 % Part (a) Write an expression for the magnitude of the acceleration of the crate in terms of F , m , and ϕ . 5 0 % Part (b) What is the magnitude of the acceleration of the crate in 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

Problem 7: Crates A and B have equal mass. Crate A is at rest on an incline that makes and angle of θ = 31.1 degrees to horizontal, while crate B is at rest on a horizontal surface. Part (a) Write an expression for the ratio of the normal forces, A to B, in terms of θ. Part (b) What is the ratio of the normal forces, A to B? NA/NB =
Solution
0 0

Consider two blocks M1 on top of M2 on a level table. There is no friction between block M2 and the table, but there is friction between block M1 and block M2. Denote the coefficients of static and kinetic friction between the blocks as μs and μk, respectively. The applied force F is applied to block M1 at an angle θ below the horizontal. The blocks start from rest. First, we will consider the situation where F is small enough that the two blocks stick together. (a) Draw free-body diagrams for the two masses. Be sure to label all forces and the direction of the accelerations. Also be sure to define an appropriate coordinate system for each free-body diagram. (b) Write down the Newton's second law equations for each block and each dimension (x and y). (c) Write down an inequality relating the force of friction and the normal force. (d) Identify the two Newton's third law pairs - i. e. the pairs of forces between the two blocks that are equal and opposite. (e) Find the acceleration of the blocks as a function of F, θ, M1, M2, g, μs, and μk. (You don't have to use all of these, but you will use at most these. ) (f) Find a condition on F such that the blocks stick together. i. e. Write an inequality in the form F ≤ Fmax for the blocks to stick together where Fmax is in terms of θ, M1, M2, g, μs, and μk.
Solution
0 0

Three blocks with masses, m1 = 1 kg, m2 = 2 kg, and m3 = 4.0 kg, are pulled to the right across a horizontal frictionless surface by a constant force, F = 48 N, that acts on the large block as shown in the figure. Two of the blocks, m1 and m3, are connected by an ideal rope while the smallest block, m2, is sitting directly in front of m1 as shown. Take right as the positive direction. Version One. (a) Find the acceleration of the system? m/s2 (b) Determine the magnitude of the tension in the rope between m1 and m3. N (c) What is the magnitude of the normal (contact) force between m1 and m2 ? N Version Two. What if block m2 was placed on top of block m1 instead of in front of it? (a) What would be the acceleration of the system and tension in the rope if m2 and m1 stuck together? a = m/s2 T = N (b) What if the blocks were made of ice so that m2 and m1 didn't stick together? At what rate would each block accelerate? a1 = m/s2 a2 = m/s2 a3 = m/s2 a3 = What would be the tension in the rope?
Solution
0 0