3/114 The 4-kg ball and the attached light rod rotate in the vertical plane about the fixed axis at O. If the assembly is released from rest at 0 = 0 and moves under the action of the 60-N force, which is main- tained normal to the rod, determine the velocity u of the ball as approaches 90°. Treat the ball as a particle. 200 mm 60 N 300 mm 8 4 kg A

3/114 The 4-kg ball and the attached light rod rotate in the vertical plane about the fixed axis at O. If the assembly is released from rest at 0 = 0 and moves under the action of the 60-N force, which is main- tained normal to the rod, determine the velocity u of the ball as approaches 90°. Treat the ball as a particle. 200 mm 60 N 300 mm 8 4 kg A

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.
The spring-held follower AB has a mass of 0.5 kg and moves back andforth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z =(0.02 cos 2θ) m. If the cam is rotating at a constant rate of 30 rad/s, determine theforce component Fz at the end A of the follower when θ = 30°. The spring isuncompressed when θ = 90°. Neglect friction at the bearing C.
The particle of mass m = 2.4 kg is attached to the light rigid rod of length L = 0.77 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 3.5 rad/s. Determine the force T in the rod when θ = 29°. The force T is positive if in tension, negative if in compression.
The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.
The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum.
5. The 25-kg block AA is released from rest.
The 4,450kg truck is traveling at 30.50m/s when the brakes on all its wheels are applied, causing it to skid for a distance of 22m before coming to rest. Calculate the constant horizontal force developed in the coupling C, as well as the frictional force developed between the tires of the truck and the road during this time. The combined mass of the boat and trailer is 2,250kg
Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘
A smooth can C, having a mass of 5 kg, is lifted from a feed at A to a ramp at B by a rotating rod. The rod maintains a constant angular velocity of θ˙ = 0.5 rad/s, Neglect the effects of friction in the calculation and the size of the can so that r=(1.2cos⁡θ)m. The ramp from A to B is circular, having a radius of 600 mm. (a) Determine the magnitude of the force which the rod exerts on the can at the instant θθ = 30∘∘. Express your answer to three significant figures and include the appropriate units.
The 7-kg smooth cylinder is supported by the spring having a stiffness of kab = 120 N/m. Determine the velocity of the cylinder when it moves downward s = 0.5 m from its equilibrium position, which is caused by the application of tthe force F =60 N.
The 10 Mg truck hauls the 20 Mg trailer. If the truck-trailerstart from rest with constant acceleration achieves a velocity of20 km/h when it travels a distance of 200 m. Determine (a) thetension in the horizontal drawbar, (b) the tractive force betweenthe driving wheels of the truck and the road.
The spring-held follower AB has a mass of 0.4 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z=(0.02cos2θ)m. The cam is rotating at a constant rate of 30 rad/s. The spring is uncompressed when θ = 90. Determine the maximum force component FzFz the follower exerts on the cam. Determine the minimum force component FzFz the follower exerts on the cam.