A catapult with a radial arm 3.83 m long accelerates a ball of mass 17.9 kg through a quarter circle. The ball leaves the apparatus at 46.8 m/s. The mass of the arm is 22.3 kg and the acceleration is constant. Hint: Use the time-independent rotational kinematics equation to find the angular acceleration, rather than the angular velocity equation.
(a) Find the angular acceleration.
___rad/s2
(b) Find the moment of inertia of the arm and ball.
___ kg · m2
(c) Find the net torque exerted on the ball and arm.
___N · m
A catapult with a radial arm 3.83 m long accelerates a ball of mass 17.9 kg...
A catapult flings a 13 kg stone from an "arm" 2 m long by applying a force of 330 N to the arm a distance 1.1 m from the pivot (See figure.) What force is applied to the stone by the catapult arm? Ignore the mass of the arm itself. 3.3 times l0^+02 N, calculated from (330 N) 1.8 times 10^+02 N, calculated from (1.1 m)*(330 N)(2 m) 6 times l0^+02 N, calculated from(330 N)*(2 m)/(l.l m)
A ball of mass 5.0 kg is suspended by two wires from a
horizontal arm that is attached to a vertical shaft, as shown in
the figure. The shaft is in uniform rotation about its axis. The
rate of rotation is adjusted until the tensions in the two wires
are EQUAL. At that speed, what is the radial acceleration of the
ball?
0.80 m 1.0 m ITT 0.60 m 2 Ball
A flat, uniform disk of mass 0.400 kg has a radius of 0.130 m. It accelerates from an angular speed of 85 rad/s to 262 rad/s in 18.0 s . Calculate the Moment of Inertia . Calculate the applied torque.
An athlete at the gym holds a 2.5 kg steel ball in his hand. His arm is 60 cm long and has a mass of 3.6 kg. Assume the center of mass of the arm is at the geometrical center of the arm. Part A What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight out to his side, parallel to the floor? Part B What is the...
A mass of m = 3 kg at the end of a robotic arm moves in the following way at a certain instant: The length of the arm is 2 m The length of the arm is increasing by 1 m/s It is rotating with an angular velocity of 6 rad/s counterclockwise (CCW) It has an angular acceleration of 1 rad/s2 clockwise (CW) Using polar coordinates find the acceleration in the θ-axis direction:
In softball, the pitcher throws underhand with the arm fully extended (straight at the elbow). In a fastpitch the ball, of mass m=0.156 kg, leaves the hand at a speed of 139 km / h, when the arm is pointed vertically downward.Part (a) Find the rotational kinetic energy, in joules, of the pitcher's arm-ball system, given that the arm's moment of inertia is 0.72 kg · m2 and the ball leaves the hand at a distance of 0.725 m from...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
Rotational Inertia for Point Masses (theoretical valuel Part II: Rotational Inertia of Both Point Masses - Experimental Use equations (2) through (5) to derive an equation for I, the rotational inertia, in terms of m, 1,8, and a. Where m now represents the mass of the hanging mass. Box 2 center of rotation, the total rotational inertia will be MR2 where Mota = M, + M2, the total mass of both point masses. To find the rotational inertia experimentally, a...
A disk with mass m = 8.6 kg and radius R = 0.35 m begins at rest and accelerates uniformly for t = 18.9 s, to a final angular speed of ω = 29 rad/s. (answer all parts of this question please, thank you so so much) 1) What is the angular acceleration of the disk? 2) What is the angular displacement over the 18.9 s? 3) What is the moment of inertia of the disk? 4) What is the...