Question

(a) The combined mass of a man and his bicycle is 90 kg. He cycles up a hill with incline 1 : 10 at a velocity of 4 m s−1 . If his power output is 500W, find the frictional force acting assuming that it is constant.

(b) A block A of mass 5m lies on a rough inclined plane of angle α where cos(α) = 4/5 with coefficient of friction µ. It is connected via a light inextensible string, passing over a smooth fixed pulley at the top of the plane, to a vertically hanging block B of mass m

(i) Find the acceleration of the block down the plane in terms of µ

(ii) Show that the block moves down the plane provided µ < 1/2

(iii) Suppose that µ = 1/4 and the system is released from rest. Show that A and B have speed √ 10 m s−1 after moving 3 m.

Answer #1

Part A- a box (mass 12.1 kg) sits on a
rough incline that makes an angle α
= 30.2o with the horizontal. A massless string is
tied to the box, runs parallel to the incline, passes over a
massless, frictionless pulley, and is tied to mass M
hanging on the other end. Assume μs = 0.335 is the
coefficient of static friction between the box and the surface of
the plane. Find the maximum value of
M, in kg, for...

Question 4
A box of mass 75.8 kg is initially sliding
upward (in the positive direction) on a
rough incline that makes an angle α = 58o with
the horizontal. As in the previous problem: a massless string is
tied to the box, runs parallel to the incline, passes over a
frictionless pulley and is tied to mass M = 85 kg hanging
on the other end. Assume the coefficient of kinetic friction
between the box and the surface of...

As shown in Figure 1, a block (mass: 2.4 kg) is initially at
rest near the top of an inclined plane, oriented at a 25° angle
above the horizontal. The coefficients of static and kinetic
friction along the incline are 0.2 and 0.1, respectively.
(a) Just after the block is released from rest, draw a free-body
diagram for it. (Assume that the block is moving after being
released from rest.)
(b) Determine the magnitude of the normal force acting on...

A mass (5 kg) slides up an inclined 10 degree surface at 5 m/s
with a coefficient of kinetic friction of 0.6. It is connected by a
cord over a pulley to a hanging 10 kg mass by a mass-less
stretch-free cord. What is the acceleration of the mass up the
incline?

In the figure, two blocks are shown with an inclined plane. The
two blocks are connected by a massless string strung over a
massless pulley. The mass of Block #1 is 3.57 kg and that
of Block #2 is 11.0 kg. The angle θ of the
incline is 43.0 degrees. The plane is NOT smooth and has a
coefficient of static friction of 0.570 and a coefficient of
kinetic friction of 0.240.
Taking the positive direction to be up the...

A block with mass m = 14.6 kg slides down an inclined plane of
slope angle 15.8 ° with a constant velocity. It is then projected
up the same plane with an initial speed 4.35 m/s. How far up the
incline will the block move before coming to rest?

Two blocks, each of mass m = 6.00 kg , are connected by
a massless rope and start sliding down a slope of incline
θ = 36.0 ∘ at t=0.000 s. The slope's top portion
is a rough surface whose coefficient of kinetic friction is
μk = 0.300. At a distance d = 1.90 m from block
A's initial position the slope becomes frictionless. What
is the velocity of the blocks when block A reaches this
frictional transition point? Assume...

A block of mass m = 3.3 kg is on an inclined plane with
a coefficient of friction μ1 = 0.39, at an
initial height h = 0.53 m above the ground. The plane is
inclined at an angle θ = 44°. The block is then compressed
against a spring a distance Δx = 0.13 m from its
equilibrium point (the spring has a spring constant of
k1 = 35 N/m) and released. At the bottom of the
inclined plane...

A block with mass m1 = 8.8 kg is on an incline with
an angle θ = 27° with respect to the horizontal. For the first
question there is no friction between the incline and the
block.
1. When there is no friction, what is the magnitude of the
acceleration of the block?
2. Now with friction, the acceleration is measured to be only a
= 3.52 m/s2. What is the coefficient of kinetic friction
between the incline and the...

A block with mass m1 = 8.6 kg is on an incline with
an angle θ = 29° with respect to the horizontal. For the first
question there is no friction between the incline and the
block.
1)When there is no friction, what is the magnitude of the
acceleration of the block?
2)Now with friction, the acceleration is measured to be only a =
3.42 m/s2. What is the coefficient of kinetic friction
between the incline and the block?
3)To...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 10 minutes ago

asked 39 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago