Path followed by the point on the rim Object rolls one revolution without slipping. A.Kom -...
Rolling Motion Up and Down an Incline (a) A rolling (without slipping) hoop with a radius of 0.10 m and a mass of 1.80 kg climbs an incline. At the bottom of the incline, the speed of the hoop's center-of-mass is v. = 7.00 m/s. The incline angle is NOT needed in this problem. Vf=0 Max h What is the angular speed of the hoop's rotation? Enter a number rad/s Submit (5 attempts remaining) What is the hoop's translational kinetic...
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
Solve for the final angular velocity (ans. 22.9 rad/s) Let's look at a new example to see how this works. Consider a solid wheel of radius 0.5 m and mass of 2 kg. The wheel sits at the top of a hill that has a height of 10 m. Starting from rest, the wheel rolls without slipping down the hill to the bottom. What is the velocity of the wheel at the bottom of the hill? The key to this...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
Rolling and slipping: A relative motion approach Mech Name HW-45 6. A cylinder of radius R is placed on top of a wooden board. They are initially at rest. The board is then pulled to the right by a constant horizontal force of magnitude F on a frictionless surface, The cvlinder is observed to roll counterclockwise without slipping cylinder wooden board on the board frictioniess surface At the instant that the board has speed vh, the center-of- mass of the...
5 and 6 "PdF/dt U HULIUI? (iii) F+ dp/dt = 0 5.) (a) A point object of mass 10 Kg is rotating about an axis 1 metre away at an angular speed of 10 rad/second. Its moment of inertia about the rotation axis is: (i) 10 Kg?-Metre (ii) 100 Kg/Second (iii) 10 Kg-Metre? (b) Which one of the following equations (using standard nomenclature) is incorrect? (i) v=ro (ii) ac = v2/r (iii) o = da/dt (c) The moment of inertia...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...
plz answer all four questions, thanks! Questions 20-21 A wheel of mass m, which has a rotational inertia I and a radius r, rotates with an angular speed w about an axis through its center. A retarding force F is applied tangentially to the rim of the wheel. 22. An airplane travels horizontally at a constant velocity v. An object is dropped from the plane, and one second later another object is dropped from the plane. If air resistance is...
5 and 6 (iii) F+dp/dt = 0 5.) (a) A point object of mass 10 Kg is rotating about an axis 1 metre away at an angular speed of 10 rad/second. Its moment of inertia about the rotation axis is: (i) 10 Kg -Metre (ii) 100 Kg/Second (iii) 10 Kg-Metre2 (b) Which one of the following equations (using standard nomenclature) is incorrect? (i) v =r o (ii) ac = v2/r (ii) da/dt (c) The moment of inertia of a uniform...
Parallel Axis Theorem: I = ICM + Md Kinetic Energy: K = 2m202 Gravitational Potential Energy: AU = mgay Conservation of Mechanical Energy: 2 mv2 + u = žmo+ U Rotational Work: W = TO Rotational Power: P = TO Are Length (angle in radians, where 360º = 2a radians): S = re = wt (in general, not limited to constant acceleration) Tangential & angular speeds: V = ro Frequency & Period: Work-Energy Theorem (rotational): Weet = {102 - 10...