Recent content by Calam1tous

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    How to Find Angular Momentum from Time-Dependent Torque?

    Homework Statement A time-dependent torque given by a + bsin(ct) is applied to an object that's initially stationary but is free to rotate. Here a, b, and c are constants. Find an expression for the object's angular momentum as a function of time, assuming the torque is first applied at t =...
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    Finding Work from the Derivative of Power

    Homework Statement A machine delivers power at a decreasing rate P = P(o)*t(o)^2 / (t + t(o))^2 , where P(o) and t(o) are constants. The machine starts at t = 0 and runs forever. Find the amount of total work. Homework Equations P = w / t W = f * d P = P(o)*t(o)^2 / (t +...
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    Projectile Motion: Find Launch Speed

    Homework Statement Your alpine rescue team is using a slingshot to send an emergency medical packet to climbers stranded on a ledge on the side of a mountain. If the height of the ledge is 270m (y = 270m) and the ledge is 390m from the slingshot (x = 390m), what is the initial velocity of...
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    Maximum and Range of the Equation (Calc.)

    Thanks for the input, treating the u and g variables as constants made the problem make more sense and I was able to solve it. y = range x = theta Solution (for reference): If I ignore the other variables and differentiate the equation, y = sin(2x), I get: y' = 2cos(2x) Then set it to 0 to...
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    Maximum and Range of the Equation (Calc.)

    Homework Statement Hello, I ran into this problem in the middle of my physics homework: Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equation y = (u^2 / g)*sin(2x), differentiating with respect to x, and thus find...
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    Static Friction of a Braking Truck

    Homework Statement A crate sits unrestrained on the back of a flatbed truck traveling along a straight road at a speed of 80km/hr. The driver applies a constant braking force and comes to a stop in a distance of 22m. What is the minimum coefficient of static friction between the crate and the...