Question

Notify Me Bookmark

A ball of mass m hangs from a spring of stiffness k. A string is attached to the ball, and you are pulling the string to the right, as shown, such that the ball is in static equilibrium. In this position, the spring is stretched to length L and makes an angle θ with the vertical. The gravitational constant is g. What is the relaxed length of the spring L0? That is, what would the length of the spring be if it were detached from the ball and laid flat on a table? Express your answer with only the variables given above.

A ball of mass m hangs from a spring of stiffness k. A string is attached to the ball, and you are pulling the string to the right, as shown, such that the ball is in static equilibrium. In this position, the spring is stretched to length L and makes an angle θ with the vertical. The gravitational constant is g. What is the relaxed length of the spring L0? That is, what would the length of the spring be if it were detached from the ball and laid flat on a table? Express your answer with only the variables given above.

Image text
A ball of mass m hangs from a spring of stiffness k . A string is attached to the ball, and you are pulling the string to the right, as shown, such that the ball is in static equilibrium. In this position, the spring is stretched to length L and makes an angle θ with the vertical. The gravitational constant is g .
What is the relaxed length of the spring L 0 ? That is, what would the length of the spring be if it were detached from the ball and laid flat on a table? Express your answer with only the variables given above. ◻

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

On Earth, a block of mass m is attached to a spring and immersed in a liquid. As the block moves, the liquid always exerts a force with a constant magnitude Fd but pointing opposite to the direction of motion. The spring has a relaxed length L0 and stiffness ks. As shown in the diagram, the block is initially released from rest when the length of the spring is 2∗L0. The bottom surface supporting the block is frictionless. Assume that the positive x-axis points to the right. Determine the new velocity of the block T seconds after leaving your hand. Assume T is small enough that the direction of the force doesn't change through this time period. Express your answer as a vector in terms of m, L, L0, ks, Fd and T. Determine the new net force on the block T seconds after leaving your hand. Assume T is small enough that the direction of the force doesn't change through this time period. Express your answer as a vector in terms of m, L, L0, ks, Fd and T.
Solution
0 0

A block of mass m = 8.30 kg slides down from an inclined frictionless ramp that forms an angle θ = 26.50∘ with the ground. A long spring with a relaxed length s0 = 1.99 m and a spring constant k = 537.98 N/m is situated at the base of the ramp. The block started at a distance d = 3.06 mfrom the tip of the relaxed spring, with initial velocity of v = 9.42 m/s. What is the length of the spring when the block compresses the spring and temporarily comes to a rest on the ramp? Round your answer to 2 decimal places.
Solution
0 0

As a torque activity, your Physics TA sets up the arrangement shown below. A uniform rod of mass mr = 173 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r1 = 10.0 cm and r2 = 90.0 cm mark, passed over pulleys, and masses of m1 = 266 g and m2 = 167 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle θF, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 = m Fp = N θF = (b) Let's now remove the mass m3 and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Express the direction of the force the pin exerts on the rod as the angle θF, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4 = kg Fp = N θF = (c) Let's now remove the mass m4 and determine the mass m5 you would suspend from the rod in order to have a situation such that the pin does not exert a force on the rod and the location r5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. m5 = kg r5 = m
Solution
0 0