The extremities of a 4-ft rod weighing 125 lbf can move freely and with no friction along two straight tracks. The rod is released with no velocity from the position shown. Determine: a) the angular acceleration of the rod, and b) the reactions at A and B. (Final answers should be in two decimal places with correct units)
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- As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α). Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip. The linear velocity of the belt must be the same so αArA=αCrC. The relationship between angular acceleration and angular speed is ω=αt. 2pi rad = 1 rev. Don't forget to convert to consistent units.A uniform cylinder of radius 27 cm and mass 16 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 7.8 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? (a) Number i Units (b) Number UnitsA solid cylinder of mass 2.7 kg and radius 0.48 m starts from rest at the top of a ramp, inclined 28°, and rolls to the bottom without slipping(For a cylinder I =; 0.5MR^2) The upper end of the ramp is 2.3 m higher than the lower end. Find the linear velocity of the cylinder when it reaches the bottom of the ramp? (g = 9.8 m/s^2)
- Please help me with thisA uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 5.0 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position?A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.
- While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.34 kg · m2 and its rotational kinetic energy is 157 J. (Enter the magnitudes.) What is the angular velocity of the leg (in rad/s)? What is the velocity (in m/s) of the tip of the punter's shoe if it is 1.05 m from the hip joint?A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.For each question, use degrees NOT radians. Healthcare professionals, when measuring range of motion (ROM) and isokinetic strength, use degrees - so this assignment will use answers in degrees as well. A person is laying on their stomach doing a hamstring curl. They go from fully extended (0o) to 130o of flexion. What is their angular displacement if the person is on their stomach with their head facing left (feet pointing right)?
- A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.Consider the 13 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.285 m and an outer radius of 0.325 m. The motorcycle is on its center stand, so that the wheel can spin freely. If the drive chain exerts a force of 2200 N at a radius of 4.95 cm, what is the angular acceleration of the wheel, in radians per square second? What is the tangential acceleration, in meters per square second, of a point on the outer edge of the tire? How long, in seconds, starting from rest, does it take to reach an angular velocity of 89.5 rad/s?