Recent content by alaa amed

Homework Statement (b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two conditions: (1) the numerator f(h)defines a line of slope -1, (2) the function f(h)/g(h) is defined for h=0. When you do this Homework...

Homework Statement An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < π/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle...

Homework Statement Determine whether the statement is true or false. lim x→1 (x − 5) / (x^2 + 2x − 4) = lim x→1 (x − 5) / lim x→1 (x^2 + 2x − 4)? Homework Equations [/B]The Attempt at a Solution I know that the right side of this equation and the left side have to equal each other in order...

Homework Statement Determine whether the statement is true or false. If f is continuous at 5 and f(5) = 8 and f(4) = 3, then lim x→2 f(4x^2 − 11) = 8. 2. Homework Equations lim x->a f(x) = f(a) The Attempt at a Solution I think the answer to this question is false because limit of f(4x^2...

A horizontal uniform disk with a mass M and a radius R=1.5m is free to rotate about its central axis perpendicular to the disk’s flat surface. A piece of clay with a mass m=0.12kg is sitting at the rim of the disk and does not slide on the disk. The moment of inertia of the disk-clay system...

Yes. The diagram showed a piece of clay is sitting at the rim of the disk and not sliding on the disk.

Homework Statement The moment of inertia of the disk-clay system about the central axis of the disk is I = 1.5 kg m2 Disk's mass = M The clay's mass = 0.12 kg Calculate the mass of the disk? Homework Equations I = m r^2 The Attempt at a Solution I thought that the moment of inertia may just...

Homework Statement A car is coasting to the right and slowing down. Neglect air resistance Draw free body diagram. Homework Equations N/A The Attempt at a Solution I drew the normal and the force of gravity equal and opposite of each other in the vertical direction. However, I am little...

Homework Statement Suppose a 180 kg motorcycle is heading toward a hill at a speed of 29 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m. How high can it coast up the hill, if you neglect friction in m? *m = 180 kg...

It will be zero! Thank you so much for your help. I get it now.

I think the person and the elevator would be free falling an so there would be no contact force?

I think that's the key to answering the question, though I am not sure I interpreted properly. I think it means the weight relative to the force of gravity that acts on it in particular instance.

Homework Statement A person of weight w is in an upward-moving elevator when the cable suddenly breaks. What is the person's apparent weight immediately after the elevator starts to fall?

F is the magnitude of the force acting on the system. d is the magnitude of the displacement of the system. and theta is the angle between the force vector and the displacement vector?

If the man's potential energy is added to the work he does on the crate, it does not yield the right answer which in this case is 3.14x10^3 J.