A uniform rod of mass M and length L=1.6 m is pivoted about one end and...
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
A uniform rod of mass 454 g and length 0.735 m is pivoted about one end and oscillates in a vertical plane. Find the period of oscillations if the amplitude of the motion is small. The acceleration of gravity is 9.8 m/s^2 Answer in units of s.
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
3. Physical Pendulum. A uniform trapezoidal mass of 50 g, moment of inertia 0.050 kg. 0.0107 m2 with center of mass and dimension as shown is pivoted about one end and oscillates about a vertical plane. 70 cm Height = 60 cm Pivot CM d=55 cm 50 cm a) Find the period of oscillation if the amplitude of motion is small and with pivot to center of mass distance of 55 cm. b) Find the period of oscillation if the...
A uniform bar of mass m = 0.4 kg and length L = 0.8m is articulated around one end and oscillates in a vertical plane. Find the period of oscillation if the range of motion is small. Icm = (1/12) mL ^ 3
A uniform rod of mass m-6 kg has length L = 60 cm . Instead of pivoting it at its end, we pivoted it at L/3 from the end as shown in the figure, we now set the rod into small angle oscillations. What is the period of the oscillation given that the moment of inertia about the pivot point is ml2/9? L/3 Pivot L С.М. 2L/3
A uniform rod of mass m- 9 kg has length L-70 cm. Instead of pivoting it at its end, we pivoted it at L/3 from the end as shown in the figure. We now set the rod into small angle oscillations. What is the period of the oscillation given that the moment of inertia about the pivot point is mL2/9? L/3 Pivot L с.м. 2L/3
A uniform rod of length L hangs from one end and oscillates with a small amplitude. What is the period of the rod's oscillation Recall that the moment of inertia for a rod rotating about one end is -ML 6g 3g 2g 2L 3g
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...
A uniform rod of mass m= 6kg has length L= 30 cm. we pivoted it at L/6 from the end. We now set the rod into small angle oscillations. what is the angular frequency w of the oscillation given that the moment of inertia about the pivot is 7/36 mL^2 A) square root 2/3 g/L b) square root 12/7 g/L c) square root 9/7 g/L d) square root 3/2 g/l e) square root 3/7 g/L