A wheel rolls up a 3.5m hill without slipping. The wheel has a mass of 20kg,...
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 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...
A wheel of radius, b, rolls without slipping at a constant speed, V0. around a circular track of radius, R. The axle of the wheel is a horizontal rod that turns freely on a pivot at the center of the track. Determine the acceleration of a point at the top of the wheel. (As mentioned in class, it is convenient to place the origin of a coordinate system S at the center of the wheel with the x axis pointing...
A wheel with a weight of 396N comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at an angular velocity of 25.4rad/s . The radius of the wheel is 0.651m and its moment of inertia about its rotation axis is 0.800 MR2. Friction does work on the wheel as it rolls up the hill to a stop, at a height of habove the bottom of the hill; this...
Problem 1: The wheel shown has a radius of 20 cm, and rolls without slipping. It starts at 6 = 3 rad/s when 0 = 0 and is given an angular acceleration a = (0.50) rad/s2, where Ois in radians. When the wheel has traveled 2 revolutions, determine: a. The angular velocity of the wheel b. The velocity of point B (center of wheel) C. The velocity of point C (top of wheel) d. The angular acceleration e. The acceleration...
A 409-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 26.0 rad/s. The radius of the wheel is 0.600 m, and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill. This work has absolute value 2000 J. Calculate h. 17.8...
A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 27 rad/s. The radius of the wheel is 0.600 m, and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this work has absolute value 2600 J. Calculate h
a wheel has a radius of .3 m and rolls without slipping. if the wheel rolls 100 m by what angle (in radians) did the wheel rotate through
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
A wheel with a weight of 390 N comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at an angular velocity of 24.0 rad/s . The radius of the wheel is 0.555 m and its moment of inertia about its rotation axis is 0.800 MR2. Friction does work on the wheel as it rolls up the hill to a stop, at a height of h above the bottom...