Recent content by offbeatjumi

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    Inhomogeneous diff EQ, undetermined coefficients

    thank you! i wasn't sure about where to apply initial conditions
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    Inhomogeneous diff EQ, undetermined coefficients

    Find the solution of: y" + 3y' = 72sin(3t) + 36cos(3t) where y(0) = 6 and y'(0) = 9 I first found the solution to the homogeneous eq: the roots (R^2 + 3R = 0) are R = 0, -3 which gives the family of solutions: y = a(1) + be^(-3t) and y' = -3be^(-3t) using the initial conditions...
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    Electric charge on hollow spherical conducting shells Gauss's Law(?)

    There are two spherical hollow conducting shells, one inside the other. The outer shell has a radius 4 times that of the inner shell. There is a switch connecting the two shells, which is for the moment, open. Both shells have a positive charge (inner shell = +20nC and outer shell = +60nC...
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    SIMPLE e&m question: finding equivalent capacitance

    I am missing something very simple... in my book, it gives, for capacitors in series, that: 1/C(eq) = 1/C(1) + 1/C(2) using numbers, it says... 1/C(eq) = 1/6.0 uF + 1/3.0 uF ... C(eq) = 2.0 uF I cannot figure out how they got C(eq) = 2.0 uF Thanks
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    Is Angular Momentum Conserved When a Block's Orbit Radius Changes?

    One definition of work is the change in kinetic energy. I wonder if it is also valid to flip that around and say that if there is a change in kinetic energy... there must have been work done? I assume (could be wrong) that since there are two questions asking about the work done and change in...
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    Is Angular Momentum Conserved When a Block's Orbit Radius Changes?

    So a perpendicular force will only change the direction of linear velocity but not the magnitude. But in this case it will change the angular velocity... I am also asked what the work done is by the cord so to avoid forces... isn't it the same answer to the previous question, the change in...
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    Is Angular Momentum Conserved When a Block's Orbit Radius Changes?

    Homework Statement small block (mass .025 kg) on frictionless horizontal surface is attached to massless cord passing through a hole in the surface. Block is revolving around the hole in the center, with initial angular speed w1 = 1.75 rad/s, 0.3 m away from the hole. The chord is pulled...
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    Torque and angular accelerationfinding coeff. of friction

    Thanks, that was a silly mistake. I feel completely stupid asking this now but i returned to the question and I don't see how I was using moment of inertia to answer my question. It just seems that what I did was solve for ang.accel by taking the change in ang.vel. over change in time to get...
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    Torque and angular accelerationfinding coeff. of friction

    Homework Statement The problem states: grindstone in shape of solid disk with diameter .52m and mass 52 kg rotates at 850 rev/min. You press an ax against the rim with normal force 160 N and grindstone comes to rest in 7.5 s. Find coefficient of friction between ax and grindstone...
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    Bullet fired into a block attached to a spring

    so the elastic potential energy of the spring when it is compressed is 0.5(300)(0.15)^2 = 3.375 N*m. So are you saying that the initial kinetic energy of the block 0.5mv^2 = 3.375 ?
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    Bullet fired into a block attached to a spring

    Homework Statement A bullet mass(b) .008 kg is fired (and embedded) into a block mass(B) 0.992 kg on a horizontal frictionless surface. The spring is compressed 0.15 m on impact. The spring's constant is 300 N/m. Q: What is the block's velocity after impact Q: What is the initial speed of...
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    Special relativity: firecracker explode simulatenously, distance of observation?

    Girl is standing at x = 600m. firecracker 1, at origin, and firecracker 2 at x = 900m, explode simultaneously. the flash from firecracker 1 reach's girls eyes at t = 3.0 microseconds. at what time does she see the flash from firecracker 2? im not even sure the correct way to approach the...
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    Special relativity: firecracker explode simulatenously, distance of observation?

    I thought so... But I am really confused now. The values in the problem is that a person is standing at x = 600m. firecracker 1 is at the origin, and firecracker 2 is at x = 900m. the firecrackers explode simultaneously. it is given that the light from firecracker one reaches the person's eyes...
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    Impulse steel ball falling on steel slab

    thank you very much yeah i did not assign the correct positions/velocities of the ball to the equation, i see now that the final velocity in the second situation is zero