tl-25 ms t-21o ms F(N) t2=50 ms t3=125 ms Striking Pushing off t4-200 ms ts-210 ms =11N F=5.5 N F- (ms) tl t2 13 14 t5
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- Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m attached to a 50-kg block in an incline (©=30°). With the spring initially at equilibrium position, the block was pushed 0.3 meters up the incline by a 50-N external force applied parallel to the path. The coefficient of kinetic friction is 0.30. d) How much work is done by the block (in Joules) on the spring? e) How much work is done by the applied push on the block? f) How much work is done by friction?The equivalent spring stiffness of an inclined spring whose k = 5 N/m and angle of inclination θ = 35° 3.355 N/m 4.095 N/m 5.867 N/m 4.511 N/mThe 10 N cylinder moves in a friction tube. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. The system rotates around a fixed z-axis. In the case where d = 0.12 m, what is the coefficient of friction for the cylinder to have a constant velocity of 9.825 m / s?
- The dependence of the tensions t (units: N) in a structure on the external forces f (units: N) follows the linear system Ct=f, where both t and f are 5 by 1 column vectors. The coefficient matrix C has been determined to be [ 11 14 20 -5 -19 ] -5 7 -3 5 -6 4 -5 13 -2 -10 0 0 0 12 -10 0 0 0 0 14 By how many N would the external force f2 need to be decreased (while all other external forces stay the same) in order to decrease the tension t3 by 94 N?An object with a mass of 0.5 kg is released from a distance of 2 m, the spring coefficient k = 100 N / m and the object is in the same direction after impact. If it is known to rebound on the road throughout; a) What is the speed of the object at the moment before it hits the spring? b) Find the maximum compression and maximum spring force in the spring. c) Find the rebound height if e = 0.5. (Assume that the spring behaves linearly during deformation, when the object leaves the spring, the spring regains its initial length (L) and energy is conserved during compression.)A piece of wood weighing 160 lb is pushed from the top of a plane slide which is 50 feet long and inclined 30° to the horizontal. Air resistance (in pounds) is numerically equal to the velocity (in feet per second), the coefficient of friction is 0.5, and the wood starts sliding with initial velocity 8 ft/sec. A) How fast is the wood moving 1.5 seconds after it starts sliding? B) How far has it slid 1.5 seconds after it starts sliding? C) How long will it take for the wood to reach the bottom of the slide?
- A 2000 lb. shell is fired from a gun weighing 300 000 lb. If the muzzle velocity of the shell is 1500 fps. and the recoil of the gun is checked by a nest of springs having a modulus of 2000 lb. per inch, what is the maximum recoil distance.1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why? Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]In the given figure below, a 3kg block is sliding down a 60 degree rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25m from an uncompressed spring located at the other lower end of the incline. The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. At what speed will the block strike the spring?
- A 30g wood block is firmly attached to a horizontal spring. The coefficient of friction between the block and the floor is 0.4. A force of 20N compresses the spring 20cm and then released. a. What is the spring constant? b. How far beyond the equilibrium position will it stretch on the first swing? c. How many seconds will it take the block to return to its initial position?1- The internal force of the spring is Select one: a. 228.15 b. 386.10 c. 292.50 d. 473.85 e. 93.60 2- Tension in BC is Select one: a. 588.49 b. 177.25 c. 411.23 d. 216.25 e. 641.66 3- Tension in BD is Select one: a. 484.52 b. 275.68 c. 45.95 d. 547.17 e. 208.84 4- If maximum tension in cables does not exceed 975 N, the corresponding spring constant is (N/m) Select one: a. 1456.00 b. 4550.00 c. 3549.00 d. 6006.00 e. 7371.00The force-deflection relation of a steel helical spring used in an engine is found experimentally as F( x) = 200 x + 50 x2 + 10 x3, where the force (F) and deflection (x) are measured in pounds and inches, respectively. If the spring undergoes a steady deflection of 0.5 in. during the operation of the engine, determine the equivalent linear spring constant of the spring at its steady deflection.