Consider a vibrating string of length 25 cm. Assume that a wavy force of f(t) = 5 cos (0.8t) is continuously applied at the right end and the left end of the string is fixed. If the initial displacement is h(x) = sin(0.5x) and the initial velocity is 0.7 cm/s. Write the mathematical model of the problem (DO NOT SOLVE!!!):

Q: ifials

A: We can find how much the point move vertically.

Q: Suppose that a motorboat is moving at 49 ft/s when its motor suddenly quits, and that 9 s later the…

A: Sol:- We can solve this problem by using the differential equation dv/dt = -kv, where v is the…

Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

A:

Q: A particle moves along the curve  y= 2 Sin(πx/2). As theparticle passes through the point (1/3, 1),…

A: Let D be the distance of any point x, y from the origin. We have to find the rate at which this…

Q: Consider a point at x = 5 on the curve Ax³y + Bx²+ Cy+D=0, where A = 3, B = 4, C = 5, and D = 1. If…

A:

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: A particle is moving in simple harmonic motion with frequency 40 hertz (cycles per second) and a…

A: Refer to the question, we need to find the equation of simple harmonic motion with frequency 40…

Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a…

A:

Q: A military radar identified an unknown object flying above Andaman Sea. The Radar Intercept Officer…

A: Differentiate the distance function, s(t) with respect to t to calculate the velocity function,…

Q: Solve the following Euler-Cauchy type equation: 1 (x² D² + 3xD+ 1)y = - 3xD+ 1)y = (1 – x)² ' d…

A: Given equation is, x2D2+3xD+1y=1(1-x)2 Take, (x2D2+3xD+1)y=0 Then assume, y=xn,…

Q: 5. Find the equation of the line (in Cartesian coordinates) tangent to r = 1– sine at the point (5).

A:

Q: A train moves along a track at velocity v. Bionica walks down the aisleof the train with velocity u…

A:

Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: A hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and…

A: The instantaneous rate of change of a function is the change in function for a very small change in…

Q: If y = arcsin(-2-1),

A:

Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.