1. A platform is rotating about the vertical axis such that at any instant its angular position is 0 = 4t% rad/s, where t is in seconds. A ball rolls outwards along the radial groove so that its position is r=0.1t°. Determine the magnitude of the velocity and acceleration of the ball when t = 1.5 s.

1. A platform is rotating about the vertical axis such that at any instant its angular position is 0 = 4t% rad/s, where t is in seconds. A ball rolls outwards along the radial groove so that its position is r=0.1t°. Determine the magnitude of the velocity and acceleration of the ball when t = 1.5 s.

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

Related questions

Q: d d B A 169 211 264 201 243 O O 0 00

Q: Bar AB has the angular motions shown below. Suppose that the angular velocity and angular…

Q: has A disk is shown, to a fixed axis of rotation through its center as. and a cord wraps around it,…

Q: An object is made to travel along a path y = x and an observer sees that it is travelling…

Q: The motion of A is controlled by the hydraulic cylinder. As A moves to the right, there are two…

A: The velocity of A is The acceleration of A is

Q: A disc rolls straight on a flat floor without slipping. The magnitude of the angular velocity ω= 3.0…

A: Given Radius, r = 1 m Angular velocity = 3 rad/s Find Velocity

Q: B 0,5 m "AB= 4 rad/s - 4 rad/s %n " 0 rad/s² 30° 1 m 30

Q: The car A has a forward speed of 21 km/h and is accelerating at 3.0 m/s². Determine the velocity and…

Q: At time t= 20 s, the velocity of a particle moving in the x-y plane is v = 0.12i + 2.64j m/s. By…

Q: .In Fig. below; rod AB rotates about an axis through A and is connected to block D by a flexible and…

A: In this question determine the linear velocity of the block D, Consider, S is the distance of BC,…

Q: Determine the magnitude of the angular velocity of the cylinder.

A: Given ,:- Velocity(v)= 3.1 ft/s Acceleration (a) = 20.1 ft/s To find :- Angular speed(w) =?

Q: 4 in. - 16 in. P M. Lr=1 in.

A: Given: Angular velocity of the motor is, ωm=411-e-t rads. The radius of the motor is rm=1 in. The…

Q: oscillating crank is defined by the relation Θ=6sin(πt/4)-sin3 where 'Θ' is expressed in radians and…

Q: A frisbee rotates at 6 rad/s. If it's the angular acceleration is 0.18 rad/s2, determine its angular…

Q: Question 1: The wheel starts from rest with an angular velocity of @=0.20², 0 is in radian.…

Q: 2 and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to…

Q: A new discovered asteroid were observed by astrophysicist. It is said to be moving along a circular…

Q: At a given instance, the fan shown below has an angular motion w₁ = 0.6 rad/s about the z-axis,…

A: Find the magnitude of blade's angular acceleration.

Q: B. In Fig. below; rod AB rotates about an axis through A and is connected to block D by a flexible…

A: Angular velocity is the rate of change in angular position of the object and it is denoted by the…

Q: At a given instant the top B of the ladder has an acceleration ag = 2.2 ft/s² and a velocity of ug =…

Q: 4. For the motion of block B in the system below use the following values: VB = 4 m/s; ag = 2 m/s².…

Q: A wheel has an initial clockwise angular velocity of 12 rad/s and a constant angular acceleration…

Q: 4-3. The motion of the rigid body m is such that the point A moves in a circular path of 1-in.…

Q: The rod OA rotates counterclockwise with a constant angular velocity of @-5 rad/s. Two pin-connectod…

Q: 4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1…

A: Find the magnitude of acceleration of the bucket.

Q: 5. Rod AC rotates with a constant counterclockwise _ngular velocity @Ac = 0.2 rad/s, determine the…

A: The length AB is 50 cm. The length BC is 50 cm. The angular velocity of rod AC is 0.2k→ rad/s. The…

Q: The ladder of a fire truck rotates about the z-axis with an angular velocity of w;=0.18 rad/s, which…

Q: n the given figure, A link OB is rotating with a constant angular velocity of 2 rad/s in counter…

A: The angular velocity is .The radial velocity is constant The length of OA is .

Q: Q17. A ball is being pushed by a rod in the vertical plane along a curved path with (C · 0) m, where…

A: Solution: Given Data: r=CθC=0.4θ=1.4 radθ.=1.3 rad/sθ..=2.8 rad/s2

Q: A flywheel starts rotating from rest and it is given an acceleration of 6 rad/s. i) Determine the…

A: Note - unit of acceleration is incorrect in the question Given data The initial speed of flywheel…

Q: 10 m/s a = 16 m/s² 300 mm 300 mm At the instant that 0= 70° rod AB is subject to a deceleration of…

A: Given data: ◆ The deceleration of link AB: a = 16 m/s2 ◆ The velocity of the link AB: v = 12 m/s ◆…

Q: m/s and an acceleration ap At the instant shown, the paper is being unrolled with a speed, vp = 7.5…

Q: disk rotate with angular speed w= 3rad/s, and is increasing with rate 0.6 rad/s. small ball A moves…

A: Give that, Angular velocity of disk, w=3 rad/secRate of increasing of speed=0.6 rad/sec,Speed of…

Q: A motorcycle starts at t = 0 on a circular track 81 component of the acceleration in m/2 is a, = 2 +…

Q: 1. At this moment Bar AB has the angular motions shown. Determine the velocity and acceleration of…

Q: When the flywheel rotates 20 revolutions, it achieves an angular velocity of wr = 30 rad/s, starting…

Q: A flywheel starts rotating from rest and it is given an acceleration of 6 rad/s. i) Determine the…

Q: 1. A motor gives disk A a counter-clockwise angular acceleration whose magnitude is a = 1.5 t…

Q: P4. In the Figure, the washer is sliding outward on the rod with a velocity of 3 m/s when its…

A: there are 2 velo. components 1 in radial direction 1 in tangential direction.for solution refer…

Q: The car started to move forward with the passenger's door fully open (0 = 0). This caused the door…

Q: A disk of radius 0.4 m starts to rotate from rest with an angular acceleration of 5.4 t^(1/2)…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

1. A platform is rotating about the vertical axis such that at any instant its angular position is
0 = 4t rad/s, where t is in seconds. A ball rolls outwards along the radial groove so that its
position is r=0.1r. Determine the magnitude of the velocity and acceleration of the ball when
t = 1.5 s.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

I need answer within 5 minutes please please with my best wishes
The angular velocity of the disk is defined by ω=(7t2+4)rad/s, where t is in seconds. A) Determine the magnitude of the velocity of point A on the disk when t = 0.8 s . B) Determine the magnitude of the acceleration of point A on the disk when t = 0.8 s
A disc rolls straight on a flat floor without slipping. The magnitude of the angular velocity ω= 3.0 rad/s, the angular acceleration α=2.0 rad/s2. The radius of the disc is r=1.0 m. Determine c ) the magnitude of the acceleration of the point G, aG=___________m/s2
Question 2: The wheel starts from rest with an angular velocity of @=0.20², 0 is in radian. Determine the magnitude of the linear acceleration of point P after the wheel has turned 1 revolution. r=0.5 m P (a) 9.92 m/s² 31.2 m/s² (b) (c) 32.7 m/s² (d) 45.2 m/s²
At the instant shown, wheel A rotates with an angular velocity of w = 12 rad/s and an angular acceleration of a = 12 rad/s² . (Figure 1) Figure 0.2 m B 0.8 m < 1 of 1 30°
Urgent please solve
The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰
he radius of the wheel is r=3.0 m. The tangential acceleration of the point A on the wheel edge, shown below, is aA=2t (m/s2). At t=0, the initial angular position θ0=0 and initial velocity V0=0. After the time of t=6 s, determine (1) the of magnitude of the angular acceleration, α=___________ rad/s2
If the gear is rotating at an angular speed of (2rad / s ) and the rack Z is moving with acceleration of (6 ft / s^2) to the Left, answer the following questions: Note: The wheel is always in contact, without slip, with the fixed path F. 1. The angular acceleration of a gear, gear a (,) a positive value means inverting Clockwise rotation and negative value means clockwise) 2. Acceleration of point 0 on gear (vector ao) 3. Acceleration of point A on gear (vector aq) 4. Acceleration of point E on the acceleration (wheel) (vector g @) 5. Point B acceleration in gear (vector g @)
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
The platform is rotating such that, at any instant, its angular position is 0 (t)=2+1.5 rad, where t is in seconds. A ball rolls outward so that its position is r(t) = 0.5t³ m. What is the magnitude of the acceleration of the ball when t = 1.4 s. Give your answer with 2 decimals.
disk rolling with no slip on horizontal surface. with the instant, angular velocity of disk is w= 3rad/s and acceleration at Point O is ao= 0.6 m/s^2. Find magnitude of velocity as well as acceleration of point A and B of disk.