A GUTTAR STRING, MADE BY YOUR MUSICAL INSTRUMENT DIVISION, HAS MASS (m), LENGTH (1) AND TENSION (F). IT IS PROPOSED BY ONE OF YOUR JUNIOR COLLEGUES THAT A FORMULA FOR THE PERIOD OF VIBRATION (t) OF THE STRING MIGHT BE; t=2介 /m³ l F USE DIMENSIONAL ANALYSIS. TO SHOW YOUR COLLEAGUE THAT THIS FORMULA IS IN CORRECT,
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- For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. U= Display responseYou may also recall that for a simple pendulum N = V, where g is the acceleration due to gravity and L is the length of the pendulum. This has been inserted in Equation 4 above. Lastly, this means that angular position 0 of the pendulum is given by: 0 = 0, cos(Nt) Equation 5 Question 1 Use the information above and Equation 2 to write an equation for the period of the pendulum in terms of g and L.Now lets consider a specific pendulum where the radius of the ball is 0.1 m, the length of the string is 1 m, and the mass of the ball is 250 g. What is the period of this pendulum? Use the formula you derived in problem 3, and report your answer in s (but don't type units into the box) Type your answer...
- Com 2. In the figure above, the length Lof the uniform bar is 4 m and its weight is 250 N. Also the block's weight W is 350 N and the angle e = 300. The wire can withstand a maximum tension of T, which depends on wire diametergiven in Eq. 1. The wire is cut by being lit with a candle placed at a certain height from the bar and the change in the diameter of the wire with respect to time is given as Eq. 2. Ti+1 = Ti - 5+ dị+1 + 500 di+1 = di - 0.01 * At a.) Assuming maximum tension is 500 N and initial wire diameter is 10 mm, calculate the maximum possible distance x (x0=0, xi+1=xi+Ax) before the wire break by using necessary. (At=1sec., Ax=0.01m) b.) With the block placed at x=0.5m, what are the horizontal and vertical components of the force on the bar from the hinge at A? (Please check whether the wire is broken ornot before the block reaches to x=0.5 m. If the wire breaks, write "the wearis broken at x ="An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 9 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 9 centimeters and the period is 6 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using z as needed. Use integers or fractions for any numbers in the equation.) (? Enter your answer in the answer box. Save for Later 3:18 PM O Type here to search O 11/15/2020 PgUp PgDn F12 DII PrtScn Home F9 End F10 F11 Ins F4 F5 F6 F7 F8 F1 F2 F3 2$ & ) %23 %3D 3. 4. 5 6 7 8 E R Y U | [ TUnder certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w. (See the figure below and the Video.) Assume that w is a function of the sign width, b, sign height, h, wind velocity, V, air density, p, and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of FL. Develop a suitable set of pi terms for this problem. SPEED LIMIT 40
- DONT MIND THE BIG NUMBER ON THE RIGHT, IT IS JUST FOR NUMBERING. MAKE SURE IT IS CORRECT AND TYPEWRITTEN TO GET AN UPVOTE. NO UPVOTE IF IT IS HANDWRITTEN. THANK YOUSolve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER A spring of k = 1972 N/m loses its elasticity if stretched more than 45 cm. What is the mass of the heaviest object the spring can support without being damaged?For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use II* II for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect.
- Note: Because the argument of the trigonometric functions in this problem will be unitless, your calculator must be in radian mode if you use it to evaluate any trigonometric functions. You will likely need to switch your calculator back into degree mode after this problem.A massless spring is hanging vertically. With no load on the spring, it has a length of 0.24 m. When a mass of 0.59 kg is hung on it, the equilibrium length is 0.98 m. At t=0, the mass (which is at the equilibrium point) is given a velocity of 4.84 m/s downward. At t=0.32s, what is the acceleration of the mass? (Positive for upward acceleration, negative for downward)I need the answer as soon as possibleMärkxsfH) Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position.