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- Hand written asap plzzzz..urgent solve 30 mins. I'll give you multiple uovoteCan you solve it plz A periodic driving force whose amplitude is 5Nand angular frequency is 3rad/s acting on a spring-masssystem. What is the oscillation amplitude of the object if thefriction coefficient (b) is 0.2kg/s, spring constant is 10N/mand the mass is 0.2kgsolved several similar problem s before, so here's the harmonic o scillator ver sion. PROBLEM 4: A SPRING AND A MASS A spring with a spring constant k is initially resting on the floor. A persn then comes over and compresses the spring by putting a mass m on the spring and pushing it a distance A. That is A is the compression dist an ce of the spring and the amount it has been displaced from equilibrium (as shown in the figure above). Now, dearly, for some (large) values of A the spring will laun ch the m ass m up as a projectile. For other (small) values of A the sy stem will oscillate. Draw a free body diagram of the system and cal cul ate A. The frequency of oscill ations of the spring, and B. For what values of A will the mass be launched upw ar d like a projectile? MunnT
- amass 11 =0.3Kg. related with horizontal sprig oxcillaies with sprig constant 30k /sce? . At 1= 0sec the mass is at X (1) =m with velocity ¥ (1) ==2m /5€6 find the; @ angula frequency o) period, © frequency, @) amplitude A and iniil phase, () maximum velocity and maximum aceeleation, (0 ot energy, () potentil energy and inetic energy at the posivon (1) =A /3straight line is always acted upon by a force from the centre of the path and directed Ex. 2: A particle of mass 8 gm moving in a and maximum acceleration, if the amplitude is towards the centre. Find its maximum velocity sse magnitude is 128 times the displacement 5 cm.3) A small sphere has radius 2cm and mas 60g. It is suspended at equilibrium from a spring with spring 14 w/m! Find how much the sphore shetches the stored in the spring. Constand and Spring the energy ^ i's pulled down an b From equilibrium, the sphere addinord Bem and released so it oscillates. up and down harmonically. Alse conservation of energy to calculate the kinetic energy to the equilibrium height. the sphere when it returns 18
- cle final answer lo Name towano ipali s 6. A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8 cost, where t is in second and x in centimeter. a. equilibrium position www. 0 heb erit bail ol Find the velocity (magnitude and direction) of the 2π/3. mass at time t = (Positive direction is to the right.) XELS XUS b. Describe in words what is going on to the mass. - What direction is it moving? - Is it speeding up or slowing down? 7. Find the derivative of the function. Simplify as much as possible. f(x) = sin(x) cos(1-x²) 2=175 f.(x f(x) fcall a Squestion a,b and c ty For any vector quantity, be sure to always include the magnitude and direction(teacher asked)(b) What is the maximum speed? I have attached the file thanks.
- Please Asap2) calcalate the worr required to Stredch 1.25 from heir cquilibriung posi tions,assuane Hooke's lawis obeyed a}4 spring that reauired 12o ĵOf work to be 6.4m from i ts equilibriam position. a.l) setup aintegral that glvej the workk doue stretehed qi2 The amucr t of wor ceauiresr DA spring Daat of 300 tobe m its equilibrinm eas iri on required a foree stretched 0;2 m from 6.1) same as al? b.2) Some awestion as a.27d. H m: 2.0kg box. Is attached tospring. The motion. of the box is Simple har monic motion, The perio d. At t-0x=0.214 m and U= -3.07 m/sec of the m on foc the boxs T=l6 sec. a) What is co,the angular frequency ot the motion in cod bWhat is k,the spring constant of the lwhat is A, the amplitude ot the motion in meters? d)What is Vnmaxy the maxımum speed of the box e)what Is E,- ) what is the phase snitt Ø inradians? 9) Write down the equatien for Xlt). n Nim? spring in ml sec? +The energy of the box in Joules?