A solid wooden spherical body 1.2 m in diameter and of mass 600 kg, rolls without slipping down an incline but is restrained by the force P of 900 N, as shown in the figure. (a) Determine the acceleration à of its center of gravity. (b) Will it skid when μ = 0.3? Show proof. 17 0.6 m W 15 8 A P "

h A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m. (in m/s) = 20 degrees; A: 3.356 OB: 3.926 OC: 4.594 OD: 5.375 OE: 6.288 OF: 7.357 OG: 8.608 OH: 1.007x10¹

A solid cylinder with mass mm and radius rr rolls without slipping down an incline that makes a 29.5° with the horizontal. What is the acceleration of the cylinder?

A constant torque of 17.6N m is applied to a grindstone for which the moment of inertia is 0.151kg · m2. Find the angular speed after the grindstone has made 14rev. Assume the grindstone starts from rest.

The flywheel of an engine has a moment of inertia of 2.50kg.m2 about its rotation axis. What constant torque is required to bring it up to an angular speed 400rrev/min of in 8.00 s, starting from rest?

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 11.0 rev/s; 30.0 revolutions later, its angular speed is 25.0 rev/s. Calculate la) the angular acceleration (rev/s1. (b) the tirne required to complete the 30.0 revolutions, (c) the time required to reach the 11.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 11.0 rev/s angular speed. ja) Number Unit įb) Number Unit (c) Number Unit (d) Number Unit

In raising the pole for the position shown, the tension T in the cable must supply a moment about A of 130 lb.ft. Calculate the value of T. A 17ft- T 67⁰ 40ft 12ft

An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value l1 = 4.3 A at t = t1 = 18 s, remains constant at this value until t= t2 when it decreases linearly to a value l4 = -4.3 A at t = t4 = 30 s, passing through zero at t = t3 = 26.5 s. A conducting loop with sides W = 20 cm and L = 60 cm is fixed in the x-y plane at a distance d = 39 cm from the wire as shown. I, I(t) d 1) What is the magnitude of the magnetic flux o through the loop at time t = t1 = 18 s? T-m2 Submit 2) What is ɛ1, the induced emf in the loop at time t = 9 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise. v Submit 3) What is ɛ2, the induced emf in the loop at time t = 20 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise. Submit 4) What is the direction of the induced current in the…

A softball player swings a bat, accelerating it from rest to 6 rev/s in a time of 0.2 s.  Find the torque the player applies to one end of the bat.  Approximate the bat as a 2.2 kg uniform rod of length 0.95 m.