Figure Q3 above shows the schematic of a motor on the right pulling the mass on the left. It is known that a kinetic friction force exists between the block and the floor, with its magnitude F, = HxN, where u = 0.3 and Nis the normal force on the block. The mass of the block m is 150 N. From an initial velocity of v, = 0 ms-4, it is required that the block reaches a velocity of v; = 2 ms- after 0.9 seconds. a. Identify the required acceleration of the block from initial to a final velocity, assuming a constant acceleration during the movement. b. Calculate the magnitude of force T needed to achieve the acceleration calculated in (a). Do consider the friction on the block in your solution c. It is known that the diameter of the spindle of the electrical motor, d = 5 cm. With the force T calculated in (b), determine the torque required from the motor to achieve this movement. This shall be the required specification of the motor.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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T
d 3D 5 ст
m
Fr
Figure Q3
Figure Q3 above shows the schematic of a motor on the right pulling the mass on the left. It is known that a kinetic friction force exists between the block and the
floor, with its magnitude F; = HzN, where u, = 0.3 and Nis the normal force on the block. The mass of the block m is 150 N.
From an initial velocity of v; = 0 ms-1, it is required that the block reaches a velocity of v; = 2 ms-1 after 0.9 seconds.
Transcribed Image Text:T d 3D 5 ст m Fr Figure Q3 Figure Q3 above shows the schematic of a motor on the right pulling the mass on the left. It is known that a kinetic friction force exists between the block and the floor, with its magnitude F; = HzN, where u, = 0.3 and Nis the normal force on the block. The mass of the block m is 150 N. From an initial velocity of v; = 0 ms-1, it is required that the block reaches a velocity of v; = 2 ms-1 after 0.9 seconds.
Figure Q3 above shows the schematic of a motor on the right pulling the mass on the left. It is known that a kinetic friction force exists between the block and the
floor, with its magnitude F, = µzN, where u, = 0.3 and N is the normal force on the block. The mass of the block m is 150 N.
From an initial velocity of v; = 0 ms-1, it is required that the block reaches a velocity of v; = 2 ms-1 after 0.9 seconds.
a. Identify the required acceleration of the block from initial to a final velocity, assuming a constant acceleration during the movement.
b. Calculate the magnitude of force T needed to achieve the acceleration calculated in (a). Do consider the friction on the block in your solution
c. It is known that the diameter of the spindle of the electrical motor, d = 5 cm. With the force T calculated in (b), determine the torque required from the motor
to achieve this movement. This shall be the required specification of the motor.
Transcribed Image Text:Figure Q3 above shows the schematic of a motor on the right pulling the mass on the left. It is known that a kinetic friction force exists between the block and the floor, with its magnitude F, = µzN, where u, = 0.3 and N is the normal force on the block. The mass of the block m is 150 N. From an initial velocity of v; = 0 ms-1, it is required that the block reaches a velocity of v; = 2 ms-1 after 0.9 seconds. a. Identify the required acceleration of the block from initial to a final velocity, assuming a constant acceleration during the movement. b. Calculate the magnitude of force T needed to achieve the acceleration calculated in (a). Do consider the friction on the block in your solution c. It is known that the diameter of the spindle of the electrical motor, d = 5 cm. With the force T calculated in (b), determine the torque required from the motor to achieve this movement. This shall be the required specification of the motor.
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