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A mass m slides in the bottom of a hemispherical bowl of radius R under the influence of gravity. Find the equation of motion and the period of small oscillations. Extra credit : Find the constraint force.
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Question: A series RLC circuit consists of a 50ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V. A) What is the instantaneous current i when e= ...
Question: An old-fashioned single-play vinyl record rotates on a turntable at 38.0rpm . What are (a) the angular velocity in rad/s and (b) the period of the motion? The response must be typed, single spaced, must be in t ...
Question: Tim and Rick both can run at speed v_r and walk at speed v_w, with v_r > v_w They set off together on a journey of distance D. Rick walks half of the distance and runs the other half. Tim walks half of the time ...
Question: A penny is placed at the outer edge of a disk (radius = 0.147 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.70 s. Find the minimum coefficie ...
Swimming at 1.50 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 45.0 m downstream from the point directly across the river from his starting point. (a) What is the speed o ...
Question: Linear Polarization Learning Goal: To practice Problem-Solving Strategy 33.2 Linear Polarization. Unpolarized light of intensity 30 W/cm2 is incident on a linear polarizer set at the polarizing angle Î 1 = 23 â ...
Question: A proton with an initial speed of 600,000 m/s is brought to rest by an electric field. What was the potential difference that stopped the proton? What was the initial kinetic energy of the proton, in electron v ...
Question: A soap bubble is essentially a thin film of water surrounded by air. The colors you see in soap bubbles are produced by interference. What visible wavelengths of light are strongly reflected from a 390 {\rm nm} ...
Question: An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius Ris placed with its center at a distance x to the right of the center of the ring, along a line through the ...
Question: A somewhat idealized graph of the speed of the blood in the ascending aorta during one beat of the heart appears as in the figure Part A: Approximately how far, in cm, does the blood move during one beat? Part ...
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