11. A uniform thin rod of length L and mass M, pivoted at one end as...
11. A thin straight board is held horizontal and then released from rest. It has a mass M and a length L, and it can pivot at one end as shown above. Ignore all effects due to friction At the instant it is released from rest in the horizontal position: (a) What is the board's angular acceleration? (b) What is the tangential acceleration of the board's center of mass? (c) What is the tangential acceleration of the board's free end?...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.460 kg and its length is 1.50 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. A thin rod labeled M is initially horizontal, with a pivot on its left end. The rod then rotates clockwise by its left end until it is...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. M L/2 . CG (a) Determine the speed of its center of gravity at its lowest position. 1.20 Consider the conservation of energy of the center of...
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.490 kg and its length is 2.40 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. M L/2 1.CG (a) Determine the speed of its center of gravity at its lowest position. m/s (b) When the rod reaches the vertical position, calculate the...
A uniform rod of mass M and length L=1.6 m is pivoted about one end and oscillates in a vertical plane. Find the period of oscillation if the amplitude of the motion is small. Pivot Mg
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.290 kg and its length is 1.30 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. Determine the speed of its center of gravity at its lowest position. m/s When the rod reaches the vertical position, calculate the tangential speed of the free...
A uniform rod of mass M and length L=1.6 m is pivoted about one end and oscillates in a vertical plane. Suppose the pivot is located at a small hole drilled in the rod at a distance L/4 from the upper end. What is the period of oscillation of the rod when it is hung from this pivot point and swings through small oscillations? Pivot Mg
(10 points) A uniform rod of length L=2m and mass M#2kg is pivoted about a horizontal frict o less pi rod is released from rest at an angle of 30° below the horizontal. The moment of inertia of the rod abou 2 kgm2. a) Draw a diagram of the question showing all related quantities, (5 points) b) Find the angular speed of the rod when it passes through the ve vertical position (5 points
A thin uniform rod (length = 1.77 m, mass = 3.13 kg) is pivoted about a horizontal frictionless pin through one of its ends. The moment of inertia of the rod through this axis is (1/3)mL2. The rod is released when it is 58.5° below the horizontal. What is the angular acceleration of the rod at the instant it is released? (in rad/s^2) A: 2.712 B: 3.173 C: 3.713 D: 4.344 E: 5.082 F: 5.946 G: 6.957 H: 8.140