In the figure shown, if wa=300rpm, solve for (a) the angular velocity of disk C (in rad/s) (b) the acceleration of disk B which is in contact with A(in in/s?). 2 in. 2 in. 4 in. 6 in.
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- A body having a mass of 46 Kg rests on a horizontal plane for which the coefficient of friction f=0.4. A force P acts on the body at an angle of 20⁰ with the horizontal. Find its magnitude for impending motion.A 500 N block is resting on an inclined plane and is subjected to a constant force of 600N acting parallel to the inclined plane. After the block has moved 3 m from rest along the inclined plane the force 600N is removed. The inclined plane has a slope of three vertical to four horizontal. Coefficient of friction is 0.20 a. Which is the following gives the distance that the black will move further along the inclined plane until it will stop? b. Which of the following gives the velocity of the block when this for 600 Newton was removed? c. Which of the following gives the velocity of the block when it returns to its initial position?The container with a diameter of 16 cm and a height of 27 cm is filled with water. Calculate the angular velocity in revolutions / min at which a) one third of the water will pour out, b) the bottom will begin to appear in the blocky rotation of the container around its axis.
- The helicopter flying in Figure 4 with a constant velocity of 180 km/h and is directly above point A when a loose part begins to fall. The part lands 6.5 seconds later at point B on an inclined surface. 16. The vertical motion component of the falling part is A. uniform motion B. non-uniformly accelerated C. uniformly accelerated D. stationaryA ball of mass 5kg and a block of 12 kg are attached by a light weight cord that passes over a frictionless pulley of negligible mass as shown in the figure. The block lies on a frictionless incline of angle 30 degrees. Find the magnitude of the acceleration of the two objects and the tension in the cord. Take g = 9.81 m/s^2.Consider the shaded area shown in (Figure 1). Suppose that a = 120 mm, b = 160 mm, and r = 75 mm. Determine the moment of inertia of the shaded area about the x-axis.
- A 60-kg car accelerates 5 m down the incline from its resting position as shown in Figure 1. Given that VA = 2 m/s and the coefficient of kinetic friction along AC is µK = 0.2 (b) Calculate the time taken from A to BThe circular disk of radius r = 0.40m rotates about a fixed axis through point O with the angular properties omega w= 2.2 rad/s and alpha a= 3.3 rad/s 2 with directions as shown in the figure. Determine the instantaneous values of the velocity and acceleration of point A.A uniform sphere of radius r and mass m is placed with no initial velocity on a belt that moves to the right with a constant velocity v1. Denoting by µk the coefficient of kinetic friction between the sphere and the belt, determine (a) the time t1 at which the sphere will start rolling without sliding, (b) the linear and angular velocities of the sphere at time t1.
- Consider the shaded area shown in (Figure 1). Suppose that a = 7 in. and b = 5 in. Determine the moment of inertia of the shaded area about the x-axis.a. Set up the equations of motion that is required to solve the problem. b. Determine the magnitude of W in the figure so that the 200 lb. body will have an acceleration up the plane of 4.025 fps^2Stokes law can be used to determine the viscosity of a fluid by dropping a spherical object in it and measuring the terminal velocity of the object in that fluid. This can be done by plotting the distance traveled against time and observing when the curve becomes linear. During such an experiment a 3-mm-diameter glass ball (? = 2500 kg/m3) is dropped into a fluid whose density is 875 kg/m3, and the terminal velocity is measured to be 0.15 m/s. Disregarding the wall effects, determine the viscosity of the fluid.