Problems 6-9 Information: Matt is driving a truck composed of a body (mB= 1000 kg) and four wheels (disks of mass mw = 50 kg, radius r = 0.4 m each) on a road (us = 0.7, µo = 0.5) at 30 m/s. The truck body is w = 2 m wide and h = 2 m tall, with a center of gravity d = 2 m above the ground. He tries to round a %3! %3D %3D %3D corner of radius R = 20 m. %3D R
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- Problem 9: A solid ball with mass, M=2.5 kg and radius, R=0.2 meter is released from rest from the top of an incline of height, h=3.5 meter. Ignore any energy loss due to friction or air drag. Consider g=9.8 m/s2. (a) The linear speed of the ball at the bottom is ________ (b) The rotational kinetic energy of the ball at the bottom is _________A lamina V of uniform mass density and total mass M kilograms occupies the region between y = l - x 2 and the x-axis (with distance measured in meters). Calculate the rotational kinetic energy if V rotates with angular velocity w = 4 radians per second about: (a) the x-axis. (b) the z-axis.A potter's wheel—a thick stone disk with a radius of 0.570m and a mass of 118kg—is freely rotating at 41.0rev/min. The potter can stop the wheel in 5.30s by pressing a wet rag against the rim and exerting a radially inward force of 68.1N. Calculate the effective coefficient of kinetic friction between the wheel and the rag.
- A drum is used to drag a [ma]-kg block A up the slope (0 = [0]°). The coefficients of static and kinetic friction between the block and slope are 0.5 and 0.3 respectively. The [mp]-kg drum has a radius of 0.6 m and a radius of gyration of [k] mm. A constant torque of [t] Nm (CCW) is supplied to the drum. Assume the drum pivot is frictionless. „Lightweight cable A 0 T (a) Draw clear free body diagrams of block A and the drum. Values (b) Calculate the acceleration of block A and the tension in the cable. 24.1 MA 13.6 8.4 나나8 mp = k = 149A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.30 mm, and he operates it at 2.50 104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 280 m/s. What is the period of rotation, in seconds, of the disk now? s5. Consider a frictionless ice ball with a radius R = 10 m. A box initially at rest begins to slip from the top of the ice ball, and follows the surface until it loses contact. Find the height (with the ground as the reference) of the box at the moment it leaves the surface of the ice ball. [Hint: on the verge of losing contact the normal force on the box from the ice ball becomes zero].
- A 350lb plate has radius 0.7m is being pulled up a incline at a angle of 20 deg by a pulling force dependent on position by F= (30d + 12) N as shown. The static friction between the plate and the incline is 0.5. From rest d=0m. Find the angular velocity of the thin plate as the moment just before slipping occurs.A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.10 mm, and he operates it at 2.25 104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now? s