A solid cylinder (r= 4cm) goes down a ramp at a declination of 20°. The longitude of the ramp is 75 cm and 20 cm high. On average, the cylinder takes 1.25 s to go down the ramp. Without specifying the value of the mass determine What is the acceleration of the center of mass? What is the angular acceleration of the object?

A solid cylinder (r= 4cm) goes down a ramp at a declination of 20°. The longitude of the ramp is 75 cm and 20 cm high. On average, the cylinder takes 1.25 s to go down the ramp. Without specifying the value of the mass determine What is the acceleration of the center of mass? What is the angular acceleration of the object?

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

A 50 kg inclined plane, 4 m long and 30 degrees in angle, rests without friction on a table (there is oil between the inclined plane and the table). A 20 kg mass is at the top of the inclined plane and slides without friction on it. How much will the inclined plane move when the mass reaches the table? What will be the speed of the inclined plane and the speed of the mass when the latter is on the table? (we have conservation of mechanical energy (no friction) and conservation of momentum...)
Q) A body with a mass of 15 kilograms is moving with a velocity of 3 meters/secand. If a force of 15 N is applied to the body, what its velocity aller 5 socunds? discuss your results please.
A shaft 5.0 cm in diameter and rotating at 2,400 rpm, comes to a full stop in 6.0 seconds. It slows down to 1200 rpm during the first 2.0 seconds and comes to a full stop at the end of the sixth second. The acceleration is constant during both segments of the motion. Determine: a.The total number of turns it completes during the 6.0 seconds it is slowing down, b.the distance traveled by a point on the rim of the shaft during this time, and c.the average acceleration during the first 2.0 seconds in rad/s2.
The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig. suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).
A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical direction
A filled drum weighing 2 kN rolls against a cushing device at I m/s. If friction is negligible, what force would be required to decelerate the drum within 2 em?
A professor's office door is 0.99 m wide, 2.2 m high, 4.2 cm thick; has a mass of 27 kg, and pivots on frictionless hinges. A "door closer" is attached to door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5.6 N*m. What is the moment of inertia of the door? If you let go of the open door, what is its angular acceleration immediately afterward?
Mountaineersoften use a rope to lower themselvesdown the face of a cliff (this is called rappelling).They do this with their body nearly horizontaland their feet pushing against the cliff. Suppose that an 82.0 kg climber,who is 1.90 m tall and has a center of gravity1.1 m from his feet, rappels down a verticalcliff with his body raised 35.0° above the horizontal.He holds the rope 1.40 m from his feet,and it makes a 25.0° angle with the cliff face.(a) What tension does his rope need to support?(b) Find the horizontal and vertical componentsof the force that the cliff face exerts on theclimber’s feet. (c) What minimum coefficientof static friction is needed to prevent the climber’sfeet from slipping on the cliff face if he hasone foot at a time against the cliff?
Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.
The propeller on Don Karnage's airplane can be modeled as three identical thin rods of uniform density extending radially from the rotational axis of the propeller. To take off, the propeller must accelerate from rest to 633 rpm in 4 s. If the length and mass of each rod are 0.872 m and 3.11 kg, what must be the magnitude of torque in N*m) necessary to accelerate the propeller? Explain how you solved the problem involving something undergoing angular acceleration Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!
A body Diagram of A nonconducting container filled with 25 kg of water at 20°C is fitted with a stirrer,which is made to turn by gravity acting on a weight of mass 35 kg. The weight fallsslowly through a distance of 5 m in driving the stirrer. Assuming that all work doneon the weight is transferred to the water and that the local acceleration of gravity is9.8 m·s−2, determine:(a) The amount of work done on the water.(b) The internal energy change of the water.(c) The final temperature of the water, for which CP = 4.18 kJ·kg−1·°C−1.(d) The amount of heat that must be removed from the water to return it to its initialtemperature.(e) The total energy change of the universe because of (1) the process of loweringthe weight, (2) the process of cooling the water back to its initial temperature, and(3) both processes together.
why in initial and final angular velocity, you are dividing them by 0.225