A particle describes simple hamonic mmtion in such a way its velocity and acceleration at a point P are u and f respectively and the corresponding quantities at another point Q are v and g. Show that (1) PQ = u²-v² S+g uz-v2 time period = 27 |g²-r2 (ii) (iii) amplitude=
Q: (a) An oscillating object of mass m, obeys the governing equation my" + cy' + ky = F(t) subject to…
A:
Q: Suppose that a particle vibrates in such a way that its position function is r(t) = 16 sinπti + 4cos…
A: a) The velocity is the derivative of the position. r(t) = 16 sinπt i^ + 4cos 2πt j^
Q: A clock is constructed so that it keeps perfect time when its simple pendulum has a period of…
A: When the time period of a simple pendulum increases then the clock starts running slow. The loss of…
Q: A particle moves along a curve whose parametric equations are x = 3e-4, y = 4 sin 3t, z = 5 cos 3t…
A:
Q: You have constucted a pendulum as shown here, and by laying a meter stick underneath the pendulum,…
A: distance from one of swing to the other end (d) = 30 cm Time taken to complete one round trip (T) =…
Q: The time period (t) of a simple pendulum may depend upon m the mass of the bob, I the length of the…
A:
Q: The height (m) of a spring over time, in seconds, can be modeled by the function h(t) = 3cos3t + 3…
A: Given data: The height of spring is, ht=3cos3t+3 The time interval is t∈0, π
Q: Q. 54 : The displacement of a particle varies according to the relation x = 4 (cos ot + sin nt). The…
A: To find-Amplitude of motion (A)=?Given-Equation of S.H.M is-X=4(cos ωt+sin πt)
Q: 12-54. The v-t graph for the motion of a car as it moves along a straight road is shown. Draw the…
A: Given, v=0.6t2 For 0≤t≤5 The distance, ds=vdtds=0.6t2dt∫ds=∫050.6t2dts=0.6t3305s=0.2×125s=25m The…
Q: The displacement of an oscillating mass is given by x(t) = 10 cos( 3 t ). At time t = 1.5π s, what…
A: Given: Displacement of the oscillating mass = x(t)=10cos3t Time=1.5π s To calculate =velocity of…
Q: Determine the length of the curve in the indicated interval: x = sin (2t) cos t y = sin (2t) sin…
A: The parametric arc length can be calculated in the following manner, Arc length=∫abx'(t)2+y'(t)2dt…
Q: straight line has a velocity of 16 cm/s and 12 Ex. 14 A particle executing S.H.M. along a cm/s when…
A:
Q: A dynamic system in continuous time is specified as in, dx(t) / dt =-2x(t) + 4 and dy(t) / dt =…
A: Steady state values of the equation are when x(0)=0 and y(0)=0 Lets solve the equation: dxdt=-2x+4…
Q: A mass falls from a height 'h' and its time of fall 't' is recorded in terms of time period T of a…
A: Hight= htime = tTime period of simple pendulum = TOn earth's surphase, t = 2TMass of the other…
Q: The plane curve described by the parametric equations x = 3 cos t and y = 3 sin t, 0≤ t < 2π, has…
A: The solution is given below:
Q: 1. The motion of a particle starting from rest is governed by the a-t curve showny Sketch the v-t…
A:
Q: (b) In which situations does the object's acceleration have a y component? 7 N 46N 2 N 3 N 2 N 5N. 2…
A:
Q: a mass of m is hung vertically from a spring with spring constant k. The period T is found tobe…
A: Initial mass is m Initial spring constant is k Initial time period is T=1 s Final mass is m'=5m…
Q: Note: Make sure your calculator is in radian mode for this problem, and that you switch it back…
A: In this question we have to find the parameters having the said asked values for the particles…
Q: Ex. 50 : The distance traveled by a particle performing S.H.M. from its mean position in 2 3 second…
A: To find- Period of S.H.M. (T)=? Given- Time(t)=2 sec Displacement (x)=32a where a=amplitude
Q: The distance y = 1.6 m. Find the upward velocity of A if the downward velocity of B is 2.1 m/s.…
A: We need to calculate L in terms of the given variables and then tell the velocity of A given the…
Q: b) Find y(x,t) and (Express the later in terms of sinusoidal function of time, eliminating the…
A: By using normalisation formula 1st we find normalisation constant,then find wavefunction at time…
Q: A conical pendulum consists of a bob (small mass at end of massless rope) that moves in a horizontal…
A:
Q: Q. 3) A ball of mass 500 g is fastened to a string 1.2 m long and suspended from a fixed- point P to…
A:
Q: Ex. 57: A needle of sewing machine moves in a path 0.06 m long and makes 20 oscillations in 1th…
A:
Q: At t = 0, a particle moving in the xy plane with constant ac- celeration has a velocity of v; =…
A:
Q: What is the maximum speed (in m/s) of a 4.9 g particle that oscillates between x = 2.0 mm and x =…
A: mass (m) = 4.9 g = 0.0049 kg the oscillation is between 2 mm and 8 mm The potential energy in units…
Q: . The position, velocity and acceleration of a particle executing simple harmonic motion are found…
A: Given, position x = 2 cm = 0.02 m velocity v = 1 m s-1 acceleration a = 10 m…
Q: A particle is performing S.H.M. of amplitude 5 cm and period of 2s. Find the speed of the particle…
A:
Q: What determines whether a pendulum swings in a plane or describes a three-dimensional path? The…
A: To determine whether a pendulum swings in a plane or in 3d we check its direction of initial…
Q: An object undergoing simple harmonic motion takes 0.18 s to travel from one point of zero velocity…
A:
Q: If s represents the displacement andt represents the time for an object moving with rectilinear…
A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…
Q: A particle performing S.H.M. starting for mean position has period 2 second and of amplitude 5 cm.…
A:
Q: is 5 % lower th on of the initia Problem 1 for
A: Given as, l1=30cm, l2=70cm, n=480Hz.
Step by step
Solved in 2 steps