6. (Bonus question.) A small uniform cylinder of radius R rolls without slipping along the inside...
A uniform cylinder of mass m, radius R and length h rolls without slipping at a constant angle φ relative to horizontal, and with the point of contact with the ground tracing out a circle of radius r. There is gravity g in the vertical direction. Write the torque equation, which determines the orbital frequency Ω.
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. Please specify how you find x and y components of the velocity.
2. The cylinder of radius r rolls without slipping. The acceleration of point B at this instant shown is A) arî + (ar + w?r)ſ B) (ar + w2r)i + arſ C) (ar + w?r)i + (ar - wr) D) (ar)i + warſ E) w?rî + arj L 8
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. In this question, why the y component of the velocity is not vsin(theta) but vcos(theta). Also why the x...
A non-uniform cylinder with mass M and radius R rolls without sliding across the floor. If it's mass was 2 kg and its radius 32 cm, and it was rolling at an angular speed of 13 rad/sec, how far up a hill can the cylinder roll without slipping?
The center disk A and radius R rolls without slipping with vector rotation of constant modulus ω on a flat surface.The bar AB is hinged at both ends, has length L and drives a block B whose movement is confined to a vertical guide. Based on the above information, we request the velocity vectors of points A and B and the vector angular acceleration about the bar AB as a function of θ and the other data of the problem....
1) A solid ball of mass M and radius R rolls without slipping down a hill with slope tan θ. (That is θ is the angle of the hill relative to the horizontal direction.) What is the static frictional force acting on it? It is possible to solve this question in a fairly simple way using two ingredients: a) As derived in the worksheet when an object of moment of inertia I, mass M and radius R starts at rest...
A uniform hollow spherical shell of mass M and radius R rolls without slipping down an inclined plane. The plane has a length of L and is at an angle (theta). What is its speed at the bottom?
A thin ring of radius R and mass M rolls without slipping along a level track. It has an initial linear, or translational velocity (of the center of gravity) of 3.50 m/s. The ring rolls to the end of the track, where the track curves upward. The center of gravity of the ring rises to a maximum height h above its initial level. Note that V is the symbol for the linear, or translational velocity (of the center of gravity)...
question (c), (d), (e), (f) please. Thanks. 1 Consider a cylinder of mass M and radius a rolling down a half-cylinder of radius R as shown in the diagram (a) Construct two equations for the constraints: i rolling without slipping (using the two angles and θ), and ii) staying in contact (using a, R and the distance between the axes of the cylinders r). (b) Construct the Lagrangian of the system in terms of θ1, θ2 and r and two...