In the figure, suppose that the system is released from rest.R RIgnoring the effects of air resistance, show that the angular speed of the pulley afterthe block m, falls through a distance d can be written as4gd(m1 – Hkm2)@pulley =2(mı + m2)R; + M(R² + R;)where Hy is the coefficient of friction between the block and the horizontal surface,M is the mass of the pulley, R1 is the inner radius of the pulley, and R2 is the outerradius of the pulley. You may assume that the pulley is a hollow cylinder.

Given: Coefficient of kinetic friction=µkMass of the pulley=MInner radius of the pulley=R1Outer…

In the figure, suppose that the system is released from rest. R R Ignoring the effects of air resistance, show that the angular speed of the pulley after the block m, falls through a distance d can be written as 4gd(mı – Hkm2) Opulley = 2(m¡ + m2)R + M(R + R;) where Hk is the coefficient of friction between the block and the horizontal surface, M is the mass of the pulley, R1 is the inner radius of the pulley, and R2 is the outer radius of the pulley. You may assume that the pulley is a hollow cylinder.

In the figure, suppose that the system is released from rest. R R Ignoring the effects of air resistance, show that the angular speed of the pulley after the block m, falls through a distance d can be written as 4gd(mı – Hkm2) Opulley = 2(m¡ + m2)R + M(R + R;) where Hk is the coefficient of friction between the block and the horizontal surface, M is the mass of the pulley, R1 is the inner radius of the pulley, and R2 is the outer radius of the pulley. You may assume that the pulley is a hollow cylinder.

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

(The complete question is in the picture) Consider a 2.0 [kg] box that is attached to two identical springs that are in their relaxed state when the block is centered on the frictionless horizontal floor. The box is pressed to the left and then was released from rest as shown in the figure. If work done by the left spring is Wby spring = 25 [J], what is the speed of the boxas it passes the center x = 0? A. 8.2 [m/s]B. 7.1 [m/s]C. 3.5 [m/s]D. zero
(a) Two blocks are joined by an inextensible cable as shown in Figure. If the system is released from rest, determine the velocity of block A after it has moved 2 m by using the data given. Assume that the coefficient of kinetic friction between block A and the plane is ?k = 0.25 and that the pulley is weightless and frictionless.
The system is released from rest in the position shown.Cylinder B falls through the hole in the bracket, but ring C (shown in section) separates from the cylinder when it hits the bracket.The coefficient of kinetic friction between block A and the inclined ramp is μk = 0.2, and the mass of the pulley is negligible.(a) Determine the speed of block A at the moment ring C strikes the support. Express the answer in m/s. Consider the following values:mA = 48kgmB = 12kgmC = 15kgθ = 31°h = 1.2m
Block A in Fig. has mass 4.00 kg, and block B hasmass 12.0 kg. The coefficient of kinetic friction between block Band the horizontal surface is 0.25. (a) What is the mass of block C ifblock B is moving to the right and speeding up with an accelerationof 2.00 m/s2? (b) What is the tension in each cord when block B hasthis acceleration?
A toboggan having a mass of 14 kg starts from rest at A and carries a girl and boy having a mass of 40 kg and 45 kg, respectively. When the toboggan reaches the bottom of the slope at B, the boy is pushed off from the back with a horizontal velocity of vb/t = 2 m/s, measured relative to the toboggan. Suppose that h = 3.5 m . Neglect friction in the calculation. (Figure 1)
Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. Topic: Conservation of Energy Principle A 0.2-kg block slides along a frictionless curved pipe a shown. It is connected to a spring with a spring constant of k = 32.5 N/m . The uncompressed length of the spring is Lo = 1.5 m. Determine the speed of the spring at point 2 if it starts from rest at point 1.
The spring is initially compressed 0.5 m, and block A is released from rest, in the position shown in the figure. After traveling 2 m, block A collides with block B (e = 0.9), and block B goes up a smooth circular curve. If WA = 12 N and WB = 2 N. Determine: a) the speed of A just before the collision; b) the speed of each block after the collision; c) the normal force on B, at position (2).
A 10 kg block A rests on a smooth surface and the spring is compressed 0.1 m. It is attached to an inextensible cord over frictionless, weightless pulleys with a mass B of kg, as shown. If the system is released from rest and B travels 0.1 m, what is A's speed? Consider K = 490N/m (spring) and V₁ = 2 x VB
By using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along the vertical slotted path (r = 0.4 θ) m, where θ is in radians. If the angular position of the arm is θ = (0.3 t3 ) rad, where t is in seconds. The cylinder is in contact with only one edge of the rod and slot at any instant. Find "the force of the rod on the cylinder at the instant t=2s" Find "the normal force of the slot at the instant t=2s" Find the "radius of curvature at t=2s" Find the "ψ angle at t=2s"
Two identical 10-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin O. If the spheres are subjected to tangential forces of P = 10N , and the rod is subjected to a couple moment M = (8t) * N * m , where t is in seconds, determine the speed of the spheres at the instant t = 4s . The system starts from rest. Neglect the size of the spheres. H.W P = 10N 0.5 m M = (8t) * N * m 0.5 m- P = 10N v = 10.4 m/s Ans.
Two identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin Part A: If the spheres are subjected to tangential forces of P = 10 N, and the rod is subjected to a couple moment M=(8t)N⋅mM=(8t)N⋅m, where t is in seconds, determine the speed of the spheres at the instant t = 4 s. The system starts from rest. Neglect the size of the spheres. Express your answer to three significant figures and include the appropriate units.
The baggage truck A shown in the photo below has a weight of 900 lb and tows a 550-lb cart B and 325lb cart C. For a short time the driving frictional force developed at the wheels of the truck is 40t lb,where t is in seconds. If the truck starts from rest, determine its speed in 2 seconds. Also, what is thehorizontal force acting on the coupling between the truck and the cart B at this instant?