Answered: A pulley P is attached to the ceiling… | bartleby

Related questions

Question

A pulley P is attached to the ceiling at O by a piece of metal that can swing
freely. One end of a rope is attached to the ceiling at A. The rope is passed
through the pulley P and a weight is attached to the other end of the rope at M,
as shown in the diagram.
A
M
The distance OA is 1 m, the length of the rope is 2 m, and the length of the piece
of metal OP=r metres, where 0<r<1. Let X be the point where the line MP
produced meets OA. Let OX=x metres and XM = l metres.
(i) By considering triangles OXP and AXP, show that
l=2+ v? -x² - VI-2x+r² .
-x² - V1-2x+p² .
de
(ii) Show that
dx
(P-x²)-x{(1–2x+r*)
2-x² +xv1-2x+r²
(iii)
You are given the factorisation
(1² – x²)– x²(1–2x + r²)=(x-1)(2x² – r²x – r²).
(Do NOT prove this.)
Find the value of x for which M is closest to the floor. Justify your
answer.

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

If the block remains in the equilibrium position shown, determine the mass of the block D. The unextended length of spring AB is 9 m. d1 = 8 m d2 = 10 m KAC = 44 N/m KAB = 70 N/m Mass of block D = ____ kg
A spring with a spring constant of k=157N/m is initially compressed by a block a distance d=0.21m. The block is on horizontal surface with coefficient of kinetic friction yk static friction ys and has a mass of m=6kg B)Assuming the block is released from the initial position and begins to move to the right input an expression for the sum of the force in the x- direction in the configuration.
A 0.46 kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples. What is the mass of the second block?
A block of mass (m = 12 kg) is attached at its top to a string that goes up and loops over a pulley. The end of the string is then attached to a second block of mass (m = 16 kg) that hangs freely. The bottom of the 12 kg block is attached to a spring with spring constant (k = 120 N/m). This spring is then attached to the floor. a) What is the stretch in the spring from its relaxed position? 6) If the spring was detached from the 12 kg block, what would the acceleration of the two blocks be?
A mass (M) is attached to a spring that is (X) m long when unstretched with a spring constant of (k) N/m. What is the maximum speed of the mass? Looking for the equation in terms of M, X and k thank you
Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g BA A 100 g 100 g C At what point will the system have the largest total energy? O A В C All points will have the same amount of total energy.
Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g B A 100 g 100 g At what point will the mass have the largest elastic (spring) potential energy? A В C All points will have the same amount of elastic potential energy. hllll
The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C, and the block oscillates between the points A and E with no friction from the floor. As the block moves from C to E, which of the following statements is true? Usp is the spring potential energy of the spring and K is the kinetic energy of the block. Usp decreases, K decreases Usp stays the same, K stays the same Usp decreases, K increases Usp increases, K decreases Usp increases, K increases
A spring with a spring constant of 112 N/m has a mass hung on it so that it stretches 1.2 cm. Calculate how much mass the spring is supporting.
Please answer this University Physics Question.
A mass of 70.0 g is hung on the end of a string that is 2.00 m in length. It is given an initial speed of 1.20 m/s and released while at an angle of 30.0 degrees from its equilibrium position. Part A What is the speed of the mass at its lowest point? Part B What is the speed of the mass when \thetaθ = 15.0 degrees? Part C What is the tension in the string when the mass is at its lowest point?
To measure the static friction coefficient between a 4.96-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 491 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0579 m, what is the coefficient of static friction? Number i Units m

SEE MORE QUESTIONS