Value of the answer. A uniform cylinder (1 = 1/2 MR?) of radius 5 m, mass...
1977M2. A uniform cylinder of mass M, and radius R is initially at rest on a rough horizontal surface. The moment of inertia of a cylinder about its axis is ½MR. A string, which is wrapped around the cylinder, is pulled upwards with a force T whose magnitude is 0.0Mg and whose direction is maintained vertically upward at all times. In consequence, the cylinder both accelerates horizontally and slips. The coefficient of kinetic friction is 0.5 On the diagram below,...
just need the answer
5. A uniform disk (1- MR) of rad A hole is cut in the disk of radius ( MR) of radius R begins with a mass M. rotating about an axis through its center as shown above. in the disk of radius R/2 as shown in the second figure. In terms of the mass Mand radius R of the original disk, the rotational inertia of the resulting object about the original axis is 5. A uniform...
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.31 kg and length L = 5.68 m to a uniform sphere with mass ms = 36.55 kg and radius R = 1.42 m. Note ms = 5mr and L = 4R. *What is the moment of inertia of the object about an axis at the left end of the rod? *If the object is fixed at the left end of the rod, what...
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other, and to a rotation axis at 0, by the two thin rods, each of length d and mass M = 1.5 kg as shown below. The combination rotates around the rotation axis with angular speed w = 0.2 rad/s. The total moment of inertia of the system measured about O is 2.3 x 10-4 kg m?. (Hint: The moment of inertia of a thin...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
urgent, can someone please help solve this
2. (20 pts) A homogeneous uniform circular cylinder rests on the edge of a horizontal step as shown. The cylinder rolls off the step with a negligible initial velocity without sliding. Find the angle through which the cylinder rotates before separating from the step, and the angular velocity of cylinder at that moment. You may use g, m and r for gravity, mass and radius. Moment of inertia of the cylinder about its...
The cylinder has radiuw r=0.6m and mass m=47kg
Determine the mass moment of inertia in kg · m2 and
the radius of gyration in millimeters of the cylinder about an axis
through point O directed perpendicular to the plane of the page
1. +-33.33 points NorEngstatics1 8.P.098. The cylinder has radius r 0.6 m and mass m 47 kg. m 2 and the radius of gyration in meters o Determine the mass moment of inertia in of the cylinder about...
A thick walled cylinder has a light string
wrapped around its outer radius and rotates
about a horizontal axis. The string then goes
vertically straight up and over a massive
pulley that also rotates about a horizontal
axis, and finally connects to a mass m =
0.900 kg on a rough incline (μk = 0.200) that
is angled at 25.0° to the horizontal.
When the system is released from rest the mass slides down the ramp
a distance of 1.80...
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass. The axis is perpendicular to the disk. The moment of inertial for the disk with a central axis is I MR2. Two non-rotating smaller disks, each with mass M2 and radius R/4, are glued on the original disk as shown in the figure. (a) Show that the ratio of the moments of inertia is given by I'/I = 35/16, where I' is the moment...
Consider a cylinder of mass M, radius R and length L. (a) Calculate the inertia tensor for rotations about the center of mass in the frame where the z axis is along the axis of the cylinder. Use cylindrical coordinates, where x = r cos θ and y = r sin θ. (b) Find the inertia tensor in the frame where the center of the “bottom side” is at the origin with the z axis along the axis of the...