A 1 kg collar can slide on a horizontal rod, which is free torotate about a vertical shaft. The collar is initially held at A bya cord attached to the shaft. A spring of constant 30 N/m is450 mm-150 mmattached to the collar and to the shaft and is undeformedwhen the collar is at A. As the rod rotates at the rate 0=16(AВrad/s, the cord is cut and the collar moves out along the rod.Neglecting friction and the mass of the rod, determine (a) theradial and transverse components of the acceleration of thecollar at A, (b) the acceleration of the collar relative to the rodat A, (c) the transverse component of the velocity of the collarat B.

Answered: Image /qna-images/answer/2b642667-723a-405f-baac-9388d2bd426e.jpg

Answered: A 1 kg collar can slide on a horizontal…

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

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(a) A force of 50 N inclined at an angle of 300 with the vertical axis moves a square block of mass 6 kg that is initially at rest on a horizontal table. The force is applied with an inextensible rope attached at the top right corner of the block. Find the velocity of the block after 8 secs. Take coefficient of kinetic friction as 0.2.
A 5.40-kg block is set into motion up an inclined plane with an initial speed of v, = 8.40 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = 30.0° to the horizontal. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?
A8 kg box resting on a horizontal, frictionless surface is attached to a 2 kg weight by a thin, light wire that passes over a frictionless pulley. The pulley has the shape of a uniform solid disk of mass 2 kg and diameter 0.6 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) acceleration of the box, (c) horizontal and vertical components of the force that the axle exerts on the pulley. (The moment of inertia around the center of mass for the disk is Iaisk =maisk R? ). 8 kg 2 kg
A 3.08-g bullet embeds itself in a 1.7-kg block, which is attached to a spring of force constant 827-N/m. If the maximum compression of the spring is 4.45-cm, find the time of the bullet-block system to come to rest. Provide your final answer in milli seconds.
Two objects with masses of 2.55 kg and 4.15 kg are connected by a light string that passes over a light frictionless pulley to form an Atwood machine. (a) Determine the tension in the string. (b) Determine the acceleration of each object. (c) Determine the distance each object will move in the first second of motion if they start from rest.
. An object of mass 12 kg is suspended from a pulley which has a mass of 6 kg and a radius of rotation of 0.25 m. If at that time the pulley rotates with an angular velocity of 5 rad/s, we want to know that when the object moves down a distance of 2 m, then at what speed is the pulley rotating? If the friction force on the pulley bearing produces a moment of resistance of 2 N-m 12 kg 0.3 m
After being released from the top of a frictionless 30˚ ramp, abox of mass 20 kg slides 5.0 meters along the ramp until it hits a (massless) spring of constant k= 80N/m. Find the maximum compression of the spring.
A double radius pulley is attached to a wall by an axle of negligible friction and is initially at rest. Two vertical forces,both with magnitude F1P = F2P =19 N, are applied at the radii R1 =0.4 m and R2 =1 m as shown.Determine the kinetic energy of the pulley after it has undergone one full rotation.
A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.
(c). A 4 kg collar C slides on a horizontal rod between 2 springs A and B shown in FigureQ2(c). Initially the system is at rest and assume no friction between the collar and therod.(i) If the collar is pushed to the right until spring B is compressed 50 mm and released,using work and energy principle, determine the distance travel by the collar.

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