The 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circulararcs AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heightsof the ramp at g and b are given as a = 15 m and b = 30 m. At point 4, the package is initiallyat rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. Theair resistance and rolling resistance are ignored.a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D.b. Using the principle of conservation of energy, determine the normal component ofacceleration at point B.c. Determine the normal force exerted by the ramp on the package at point B.

Answered: Image /qna-images/answer/06be539e-8fea-4166-8fb2-da1445b08147.jpg

he 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular res AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heights f the ramp at a and b are given as a = 15 m and b = 30 m. At point A, the package is initially rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The ir resistance and rolling resistance are ignored. a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D. b. Using the principle of conservation of energy, determine the normal component of acceleration at point B. c. Determine the normal force exerted by the ramp on the package at point B.

he 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular res AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heights f the ramp at a and b are given as a = 15 m and b = 30 m. At point A, the package is initially rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The ir resistance and rolling resistance are ignored. a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D. b. Using the principle of conservation of energy, determine the normal component of acceleration at point B. c. Determine the normal force exerted by the ramp on the package at point B.

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: Q4. As shown in the image below, a force of P= 310 N is applied to the 64-kg cart. The dimensions…

A: To find : To find the total normal reaction at the wheel A. Given : force P=310 N…

Q: Q6. The 4-kg ball is connected to a spring with spring constant k = 280 N/m and unstretched length…

A: Given: Mass of ball, m=4 kg spring constant, k=280 N/m Un-stretched length, l0= 0.8 m Initial length…

Q: A basketball player attempts a slum-dunk (unsuccessfully) as shown in the ?gure. The basketball…

A: GIVEN: TO FIND: Find the resultant R and the resultant moment M of the system of forces with…

Q: 3/105 The small 0.2-kg slider is known to move from position A to position B along the…

Q: V mg Sw mg 2. A drone of mass m (shown above) moves with a horizontal velocity v and is propelled by…

Q: The 1000 kg roller coaster car is released from rest at A as shown in the figure below. Find the…

A: Given:m=1000 Kgr=7.5 ms=20 mAs the coster goes round the curve it will be acted by centrifugal…

Q: The two blocks shown are originally at rest. Neglect the masses of the pulleys and the effect of…

Q: Two masses are coupled by a pulley and restrained by a spring. The spring has an unstretched length…

A: Given data,

Q: m The diagram shows the instant when a long slender bar of mass 2.2 kg and length 1.5 m is…

Q: Two 2 kg balls are attached to the ends of a rod. The rod is attached to an axle such that the balls…

Q: 2.70 kg 3.60 kg 4.00 kg 6.20 kg 7.25 kg none of the above m1 1.00 m m2 A system of two paint buckets…

A: According to the given data u=0 v=2.50m/s h=1m m1=12kg We need to find Mass of the block 2

Q: The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the…

Q: Motorized moving platform is lifting a car with some acceleration. If the combined weight of the…

A: Mass of platform = 2800 kgMass of the lift = 200000 kgFind the maximum acceleration before tipping

Q: A 0.5 kg block sides in a smooth slot in a vertical plane. A constant force P is applied as shown.…

Q: 15m 10 4.5m v = 0.25m/s NOT TO SCALE

Q: Two blocks are connected by a massless string horizontally. The left block is pulled by a 100 N…

A: Weight of an object is defined as mass times the acceleration due to gravity. Weight of an object…

Q: A spring is stretched 3 cm by a force of 6 N. Thus, according to Hooke's Law, the spring DO = 200 N.…

A: From the conservation of energy, the initial kinetic energy of the mass is equal to the final…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

The 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular
arcs AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heights
of the ramp at g and b are given as a = 15 m and b = 30 m. At point 4, the package is initially
at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The
air resistance and rolling resistance are ignored.
a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D.
b. Using the principle of conservation of energy, determine the normal component of
acceleration at point B.
c. Determine the normal force exerted by the ramp on the package at point B.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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

Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the gravitational force acting on the box and child system?b. What is the magnitude of the normal force acting on the box?c. What is the reaction force associated with the normal force found in the previous step.
The 2 kg bracelet in the figure is released at point A without initial velocity. The ring moves along the frictionless ABC guide, reaching point C. The length of the spring in the undeformed state is 150 mm. Spring constant is k = 600 N / m. Find the velocities of the ring at B and C. B 200 mm +150 mm- 250 mm- ww
A 100 pound pipe is at rest vertically, when the cable is connected to B at the force of P=50 pounds. Find the pipes angular velocity and acceleration at A. Please include FBD is necessary. Thank you. 4 ft A 3 ft P = 50 lb В 3 ft
Find the minimum weight of block A in order for motion to be impending down the plane (to the left). Assume the pulley to be frictionless. Given:WB = 180 lbs, θ = 40 °, μ = 0.2 for all surfaces.
A force (magnitude F) acts on a box of mass m resting on the ramp and the box remains at rest. The force is directed at an angle above the horizontal. The normal force on the box due to the surface is equal to 0
Please explain answers and include work. Please write the explanations and work out to make them easy to follow and understand.
4. A six-pound weight hanging from the end of a spring is pulled 10 centimeters below its resting position and released; it takes 0.9 seconds to complete a cycle. Determine an equation for the motion of the weight, assuming that it is 10 centimeters below its resting position and rising at t = 0. 16165 -- below t=0 t=0.9
The coefficient of kinetic friction between the m = 10.4 kg crate and the plane is u = 0.3. Initially, the crate is at the position 1 on the horizontal plane with a velocity v, = 14.8 m/s. The crate moves a distance D = 4 m before going upward on the incline plane that has an angle with the horizontal of e = 35 degrees. The initial state and the state at the bottom of the incline plane are at h = 0 m. Determine the distance L the crate will travel upward where it will be at rest. g = 9.81 m/s?. h Position 1 13.626 m O 12.161 m O 15.091 m O 10.052 m
The 10-kg block shown in Fig. 14-6a rests on the smooth incline. If the spring is originally stretched 0.5 m, determine the total work done by all the forces acting on the block when a horizontal force P = 400 N pushes the block up the plane s= 2 m. s = 2 m Initial position of spring P = 400 N 2 sin 30° m -k = 30 N/m -2 cos 30° m 30° (a)
Rod OA rotates counterclockwise with an angular position - 2t rad, where t is in seconds. 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 hoop rod described by the equation r = 1.6cose m. If the total mass of both collars is 0.5 kg and of the rod and hoop are negligible, when = 30° which takes t = ()(180) sec, determine the circumferential acceleration of the collars, ag. [m/s2] (sign sensitive) 6=ki 16 cos 8.
The 250-lb pipe is being towed behind a truck, as shown in the figure. If θ = 25° and the coefficient of friction of the pipe with the ground is μk = 0.25, determine: a) the tension in the cable b) the acceleration of the truck
Cart 1 Mass - M Cart 2 Mass = 3.5M Force Sensor The spring cart (cart 1) is released and collided inelastically with cart 2 and the two carts move off together. The spring does not add any mass to cart 1. Assume negligible friction in the cart wheels.