A 1.0 kg ball and a 4.0 kg ball are connected by a 3.0-m-long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 25 rpm.
Part A
What magnitude torque will bring the balls to a halt in 5.0 s?
Center of gravity :
X = 4*3/5
X = 2.4 m
Moment of inertia :
I = 1*2.4^2 + 4*0.6^2
I = 7.2 kg m^2
Angular velocity :
w = 25*2*3.14/60
w = 2.61 rad/s
Angular acceleration :
a = 0 - 2.61/5
a = - 0.523 rad/s^2
Torque :
T = I*a
T = 7.2*(-0.523)
T = - 3.768 Nm
A 1.0 kg ball and a 4.0 kg ball are connected by a 3.0-m-long rigid, massless rod.
A 2.0 kg ball and a 3.0 kg ball are connected by a 1.5 m long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 16 rpm . Part A What torque will bring the balls to a halt in 9.0 s ?
A 1.0 kg ball and a 2.0 kg ball are connected by a 1.1-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 22 rpm . Part A What torque will bring the balls to a halt in 4.4 s ?
A 1.0 kg ball and a 2.0 kg ball are connected by a 1.2-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 17 rpm . What torque will bring the balls to a halt in 4.6 s ?
A 2.0 kg ball and a 2.5 kg ball are connected by a 2.5 m long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 20 rpm . What torque will bring the balls to a halt in 5.0 s ?
A 2.0kg ball and a 4.0kg ball are connected by a 3.0m long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 16rpm . What torque will bring the balls to a halt in 9.0s ? Express your answer using two significant figures. Assume the counterclockwise rotation as positive.
Assignment 5. Rotational dynamics Adaptive Follow-Up Problem 7.67 Constants Part A A 15 kg ball and a 3.5 kg ball are connected by a 3.0 m long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 22 rpm What torque will bring the balls to a halt in 7.0 s? Express your answer using two significant figures N- m Submit x Incorrect; Try Again; 4 attempts remaining Provide Feedback
A 150 g ball and a 250 g ball are connected by a 38-cm long, massless, rigid rod. The balls rotate about their center of mass at 120 rpm.Part A What is the speed of the 150 g ball?
A 120 g ball and a 220 g ball are connected by a 30-cm-long, massless, rigid rod. The balls rotate about their center of mass at 130 rpm. What is the speed of the 120 g ball?
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is located at x = 1.0 cm, mass m2-2.0 kg at x = 2.0 cm and mass m,-3.0 kg at x-3.0 m. Find the center of mass of the system. (b) Find the center of mass of the four masses as below. mi 2.0 kg at point (1,2) cm; m 3.0 kg at point (2,-3) cm; m -4.0 kg at point (3,-4) cm and m...
A 350 g ball and a 530 g ball are connected by a 46.0-cm-long massless, rigid rod. The structure rotates about its center of mass at 150 rpm. What is its rotational kinetic energy?