The Silently Ringing Bell. A large, 34.0-kg bell is hung from a wooden beam so it can swing back and forth with negligible friction. The bell’s center of mass is 0.60 m below the pivot. The bell’s moment of inertia about an axis at the pivot is 18.0 kg · m 2 . The clapper is a small, 1.8-kg mass attached to one end of a slender rod of length L and negligible mass. The other end of the rod is attached to the inside of the bell; the rod can swing freely about the same axis as the bell. What should be the length L of the clapper rod for the bell to ring silently—that is, for the period of oscillation for the bell to equal that of the clapper?
The Silently Ringing Bell. A large, 34.0-kg bell is hung from a wooden beam so it can swing back and forth with negligible friction. The bell’s center of mass is 0.60 m below the pivot. The bell’s moment of inertia about an axis at the pivot is 18.0 kg · m 2 . The clapper is a small, 1.8-kg mass attached to one end of a slender rod of length L and negligible mass. The other end of the rod is attached to the inside of the bell; the rod can swing freely about the same axis as the bell. What should be the length L of the clapper rod for the bell to ring silently—that is, for the period of oscillation for the bell to equal that of the clapper?
The Silently Ringing Bell. A large, 34.0-kg bell is hung from a wooden beam so it can swing back and forth with negligible friction. The bell’s center of mass is 0.60 m below the pivot. The bell’s moment of inertia about an axis at the pivot is 18.0 kg · m2. The clapper is a small, 1.8-kg mass attached to one end of a slender rod of length L and negligible mass. The other end of the rod is attached to the inside of the bell; the rod can swing freely about the same axis as the bell. What should be the length L of the clapper rod for the bell to ring silently—that is, for the period of oscillation for the bell to equal that of the clapper?
A large bell is hung from a wooden beam so it can swing back and forth with negligible friction. The center of mass of the bell is 0.55 m below the pivot, the bell has mass 30.0 kg , and the moment of inertia of the bell about an axis at the pivot is 16.0 kg⋅m2. The clapper is a small, 1.8 kg mass attached to one end of a slender rod that has length L and negligible mass. The other end of the rod is attached to the inside of the bell so it can swing freely about the same axis as the bell.
What should be the length L of the clapper rod for the bell to ring silently-that is, for the period of oscillation for the bell to equal that for the clapper?
Express your answer using two significant figures.
A thin rod of mass m = 3 kg and length L = 0.5 m is attached at one end to a hinge on a wall. It is supported so that it lies horizontally and is then released and swings down. What is the angular acceleration of the rod when it is first released?
A 0.75 kg block is resting on a table. At the end of the table is a pulley. A 1.5 kg mass hangs over the pulley by a string tied to the block. The hanging mass is initially 0.6 m above the floor. The pulley is a solid disk with a mass of 0.25 kg and a radius of 0.025 m. The table exerts a 2.5 N frictional force on the block. The system is released from rest. How fast is the block moving when the hanging mass reaches the floor? Assume the table is long enough that the block remains on the table.
Thank you for all your help!
Chapter 14 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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