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114 Simple Pendulum 27. (I) A pendulum has a period of 1.85 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth? 28. (I) How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete oscillation takes exactly 2.0 s.) 29. (I) A pendulum makes 28 oscillations in exactly 50 5. What is its (a) period and (b) frequency? 30. (II) What is the period ofa simple pendulum 47 cm long ( a) on the Earth, and ( b) when it is in a freely falling elevator? 31. (II) Your grandfather clock's pendulum has a length of 0.9930 m. If the clock runs slow and loses 21 5 per day, how should you adjust the length of the pendulum? \f8-1 Angular Quantities (I) Express the following angles in radians: (a) 45.0\\f84 Torque 25. (II) Calculate the net torque about the axle ofthe wheel shown in Fig. 842. Assume that a friction torque of 0.60 m - N opposes the motion. 27. (II) Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in Fig. 843. Initially the rod is held in the horizontal position and then released. Calculate the magnitude and direction of the net torque on this system when it is first released. 29. (II) Determine the net torque on the 2.0-m-long uniform beam shown in Fig. 845. All forces are shown. Calculate about (a) point C, the CM, and (b) point P at one end. e m m FIGURE 8-43 Problem 27.