Since the value of the W is not give thus the answer will come in terms of variable of W.
1. A sphere with weight W is connected to a weightless spring and swung like a...
The 6.0-lb bar is pinned at its center O and connected to a
torsional spring. The spring has a stiffness k = 5.6 lb?ft/rad , so
that the torque developed is M=(5.6?)lb?ft, where ? is in
radians.
If the bar is released from rest when it is vertical at
?=90?, determine its angular velocity at the instant
?=45?.
A ball of mass m is connected to one end of a rubber band and swung in a circle. The rubber band has spring constant k, and its unstretched length is r0. If it is swung at an angular velocity ω, to what length will it stretch the rubber band? Please use energy if you can !! I started to try it using spring potential = rotational kinetic and used I = mr^2 for moment of inertia. but if i...
A pendulum consists of a slender rod, AB, of weight
Wr = 8.70 lb and a wooden sphere of weight Ws =
28.9 lb .(Figure 1) The length of the rod is d1 = 7.20 ft
and the radius of the sphere is R = 0.500 ft . A
projectile of weight Wp = 0.300 lb strikes the center of
the sphere at a velocity of v1 = 866 ft/s and becomes
embedded in the center of the sphere. What...
Two uniform cylinders, each of weight W= 10 lb and radius r = 5 in., are connected by a belt as shown. Knowing that at the instant shown the angular velocity of cylinder B is 28 rad/s clockwise, determine the distance through which cylinder A will rise before the angular velocity of cylinder B is reduced to 5 rad/s and the tension in the portion of the belt connecting the two cylinders. (Round the final answers to two decimal places.)...
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6 ft. The spring has a stiffness of 2 lb/ft and an unstretched length of 1 ft. Find the velocity of the center G at the instant G moves 3 ft to the left. Assume that the disk is released from rest in the position shown and rolls without slipping. k=2 lb/ft
Two uniform cylinders, each of weight W= 10 lb and radius r = 5 in., are connected by a belt as shown. Knowing that at the instant shown the angular velocity of cylinder B is 28 rad/s clockwise, determine the distance through which cylinder A will rise before the angular velocity of cylinder B is reduced to 5 rad/s and the tension in the portion of the belt connecting the two cylinders. (Round the final answers to two decimal places.)...
4. The pendulum in Figure 4 consists of a 10 lb sphere of radius 1.0 f and a 5 lb slender rod of length 2.0 ft. Determine: (10 pts) the angularacceleration of the pendulum immediately after the string is cut and the reaction at the pin support O a. b. (10 pts) Using Work-Energy determine the angular velocity of the pendulum as it swings through the vertical position and the reaction at the pin O at that instant. BC 1...
The weight W = 5 lb, the spring constant is k = 5 lb/ft, and the damping constant is c = 0.55 lb-s/fl The spring is unstretched when x = 0. The mass is displaced to the position x = 3 ft and released from rest. (a) What is the natural frequency and damping of the system? (b) If the damping is subcritical what is the frequency of the resulting damped vibrations?
3. Two uniform cylinders are connected by a belt as shown. Each cylinder weighs W 20 lb and has a radius r= 6 in. Knowing that at the instant shown the angular velocity of cylinder B is 40 rad/s clockwise, determine (a) the distance through which cylinder A will rise before the angular velocity of cylinder B is reduced to 10 rad/s, (b) the tension in the portion of belt connecting the two cylinders.
Quiz #8 MENG 212 At the instant shown, the 50-1b bar rotates clockwise at 2 rad/s. The spring attached to its end ls. The spring attached to its end always remains vertical due to the roller quide at C. If the spring has an unstretched length of 2 ft and, if the angle A is 300 th of 2 ft and, if the angle 0 is 30°, measured from the horizontal, to which the bar rotates before it momentarily stops....