A rigid body is undergoing planar motion with the velocity of its center of mass vc = 2 m/s i + 5 m/s j and an angular velocity of 10 rad/s k.  If a force of 10N i and a couple of 2 Nm k is applied to the body, what is the rate of its kinetic energy change with respect to time?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 272-mile trip in a typical midsize car produces about 3.25 x 10° J of energy. How fast would a 18.3-kg flywheel with a radius of 0.303 m have to rotate to store this much energy? Give your answer in rev/min. Number i Units

A 70 kg disk is spinning about a vertical axis of rotation with a radius of 1.2 m and a rotational inertia of 0.45 mr2 and it has an initial angular velocity of 10 rad/s. An unknown mass falls onto the disk 0.8 m away from the axis of rotation. After the collision, the disk is now spinning at 6 rad/s. The rotational inertia of the mass is mr2. Calculate the unknown mass that falls on the disk.

A 5.0 kg block travels around a 0.60 m radius circle with an angular velocity of 15 rad/s. The magnitude of its angular momentum about the center of the circle is:

A child jumps to the edge of a carousel, that is in the shape of a circular plate with a radius of 1.3 m and was rotating at an angular velocity of 1.2 s-1 before the chuld jumped on it. The weight of the carousels is 80 kg, the weight of the child is 22 kg. What is their angular velocity after the jump? Later, the child moves closer to the center of the carousel plate by 80 cm. What is the new angular velocity?

A pool ball is struck directly in its center so that it begins to slide across the table without rotating. Eventually, friction with the table causes it to roll without slipping. The mass of the ball is M and its radius is R. The coefficient of friction between the ball and the table is u. If the initial speed of the ball is vo, what is its final speed, once it is rolling without slipping?

A disk has mass M = 1.0 kg and radius, R = 0.3 m is free to rotate about a fixed axle through its center. Since the axle is fixed, the center of mass of the disk does not move. The disk is initially not rotating. A student wraps a string 5 times around the perimeter of the disk and then pulls the string with a constant force of F = 2.0 N, as shown in the figure below. F= 2N E R=0.3m I=įmr? The student pulls on the string until it is completely unwound, and the string does not slip on the disk as it is pulled. After the string has unwound, what is the angular speed of the disk w : OA. W = 54.9 radians/sec OB. W = 32.8 radians/sec OC. 29 radians/sec O D w = 17.6 radians/sec 6.3 radians/sec

Assume mars is a uniform solid sphere of mass 6.42x10^23 kg and a radius 3390 km.The length of a day on mars is 24 hours and 37 min. What is the rotational kinetic energy of the planet about its axis.

The 11 kg disk has an angular velocity of w = 20 rad/s. (Figure 1) Figure 400 mm 500 mm 200 mm- A B ⒸO 500 mm с P (N) 5 2 1 of 1 -t(s) Part A If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of kinetic friction at B is μ = 0.4. Neglect the thickness of the brake. Express your answer to three significant figures and include the appropriate units. t = 0 Submit Value μA Provide Feedback Request Answer Units ? Next >

Please answer question 8