A rod of mass M and length L pivots at x=0, the rod is not uniform...
4. A non-uniform rod has total mass M and length L with mass density a=Br", where x is measured from the end and b is an unknown constant. The rod is rotating about the center at 0... What is the angular momentum of the rod? (Knowns are M, L, and 0.) y pivot
A uniform rod (total length L) pivots at one-quarter from one end. It is pulled to one side through a very small angle and allowed to oscillate in a vertical plane. Let the mass m of the rod equal to 1 kg. (a) Determine the period of oscillation T of the physical pendulum if the total length is 2.06 m (4 points). (b) What is the length of a simple pendulum l that has the same period T as found...
A uniform thin rod of mass M- 4.27 kg pivots about an axis through its center and perpendicular to its L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I -0.983 kg m2? Number rm H7I 7i
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
The figure shows a uniform thin rod of length L 2.7 m and mass m= 12.6 kg that is free to rotate about a pivot point at one end of the rod. The rod is released from rest at an angle 8-78.2 above the horizontal. Find the rotational Inertia of the rod about the pivot point and the tangential speed at which the end of the rod is moving when the rod reaches the horizontal. Select one answer for the...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
Questions 10-12 A uniform rod of mass M0.6 kg and length L-1 m with a point mass m 0.3 kg attached z to its free end is rotating with angular speed w1 figure 00 rad/, about the z-axis, aa p- the rotational inertia of the system about point P in units of kym. (Fr a uniform rod of M.L 10 (b)0.5 (e) 1.5()25 () 2.0
A uniform thin rod of mass M and length L lies on the positive x-axis with one end at the origin.Consider an element of the rod of length dx., and mass dm at point where 0<x<L. a) What is the gravitational field produced by the mass element of any value of X? b)Calculate the total gravitational field produced by the rod. C)Find the gravitational force on a point particle of mass m0 at x0. D) Show that for x0>>L the...
Consider a thin rod of length L and mass M
situated with one end at the origin x = 0 of the
coordinate system as shown
Mostly need help with part B. Thank you
a) Four 1 kg boxes sit on a 5 m long uniform rod of mass 4 kg, such that the total mass of the system is 8 kg. The boxes are spaced 1 m apart, with the first box sitting at the left end of the...
3. The uniform rod of length 4b = 0.8 m and mass m = 2 kg is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. (For a slender rod of mass m and length L, I = ml?)