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2. A bar on a hinge starts from rest and rotates with an angular acceleration α (10 + 61), where α is in rad/s and 1 is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.
4. A dentists drll starts from rest. After 3.20 s of constant an- gular acceleration, it turns at a rate of 2.51 × 104 rev/min. (a) Find the drills angular acceleration. (b) Determine the angle (in radians) through which the drill rotates during this period.
8. A centrifuge in a medical laboratory rotates at an angu- lar speed of 3 600 rev/min. When switched off, it rotates through 50.0 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge.
18. QC W Rigid rods of negligible mass lying along the y axis con- nect three particles (Fig. P10.18). 4.00kg y 3.00 m The system rotates about the x axis with an angular speed of 2.00 rad/s. Find (a) the moment of inertia about the x axis, (b) 2.00 kg Oy-2.00 m the total rotational kinetic en- ergy evaluated from , (c) the 3.00 k4.00 m tangential speed of each particle, and (d) the total kinetic energy evaluated from Σ3mui 2, (e) Com- pare the answers for kinetic en- ergy in parts (b) and (d) Figure P10.18
0.0° 12.0 N 9.00 N Figure P10.23 24. Two vectors are given by A:--31+7. -4k and B 61-10İ +9k. Evaluate the following quantities (a) cos [A B/AB] and (b) sin Ax B/AB]. (c) Which give(s) the angle between the vectors?
A uniform sign of weight F and width 2L hangs from a light, horizontal beam hinged at the wall and supported by a cable (Fig. P10.32). Determine (a) the tension in the cable and (b) the components of the reaction force exerted by the wall on the bearm in terms of F., d, L, and θ. Figure P10.31 dLulu and Lisas Cafe
46. W A playground merry-go-round of radius R2.00 m has a moment of inertiaI 250 kg m2 and is rotating at so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? 57
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Alter 4 second anae Alter 4 g,

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