a) Assuming that f=μN, show that the coefficient of (rolling) friction for the car moving down the inclined plane with...
a) Assuming that f=μN, show that the coefficient of (rolling) friction for the car moving down the inclined plane with a constant speed is gived by μ=m2/mccosθ. Use symbols, not numbers.
b)Prove that θ is equal to μk when the blcok sldies down the incline with a constant speed?(use symbols not numbers)
b2) if θ is the maximum angle of inlcline justbefore theblcok moves, what is μs in term of θ?
c)suppose that the blcok were made to move up the inclined plane with a uniform speed by suspending masses on a string over the pulley. Derive an equation for the coefficient of kinetic friction for this case in terms of the suspended masses, the mass of the block, and the angle of decline. (neglect friction and mass of pulley)
Homework Answers
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a) Assuming that f=μN, show that the coefficient of (rolling) friction for the car moving down the inclined plane with...
3. Prove that tan θ is equal to (Use symbols, not numbers.) when the block slides...
3. Prove that tan θ is equal to (Use symbols, not numbers.) when the block slides down the incline with a constant speed. 4. Suppose that the block were made to move up the inclined plane with a uniform speed by suspending masses friction for this case on a string over the pulley. Derive an equation for the coefficient of kinetic in terms of the suspended masses, the mass of the block, and the angle of decline. (Neglect any friction...
Question about #4 Prove that tan theta is equal to mu_k when the block slides down...
Question about #4
Prove that tan theta is equal to mu_k when the block slides down the incline with a constant speed. (Use symbols, not numbers.) If theta is the maximum angle of incline just before the block moves, what is mu_s, in terms of theta? Suppose that the block were made to move up the inclined plane with a uniform speed by suspending masses on a string over the pulley. Derive an equation for the coefficient of kinetic friction...
Assuming that f=mu(N), show that the cofficient of (rolling) friction for the car moving down the inclined plane with a...
Assuming that f=mu(N), show that the cofficient of (rolling) friction for the car moving down the inclined plane with a constant speed is given by mu=tan(theta) - m2/mc cos(theta)(Use symbols, not numbers.)
Two blocks with mass M1 and M2 are arranged as shown with M sitting on an inclined plane
Two blocks with mass M1 and M2 are arranged as shown with M sitting on an inclined plane and connected with a massless unstretchable string running over a massless, frictionless pulley to M2, which is hanging over the ground. The two masses are released initially from rest. The inclined plane has coefficients of static and kinetic friction μs and μk respectively where the angle θ is small enough that mass M1 , would remain at rest due to static friction if...
A mass m = 1 kg slides down a θ = 30◦ inclined plane from a...
A mass m = 1 kg slides down a θ = 30◦ inclined plane from a
height of 5 m. At the bottom of the incline, it collides with
another mass M = 3 kg, and the latter is initially at rest as shown
in Fig. 3. The surface to the right of the inclined plane on which
the 3 kg (green) mass sits is horizontal.
(a) The inclined surface is frictionless. Conserve energy to
find the velocity of the...
An object of mass 4.00 kg is sitting at the top of an inclined plane of...
An object of mass 4.00 kg is sitting at the top of an inclined plane of height h and angle θ with the horizontal. The object slides down the inclined plane and right before it reaches the bottom of the plane, it has speed of 16.0 m/s. Neglect friction. What is the height of the inclined plane?
1) Consider a box of mass m sitting on an inclined plane. The inclined plane makes...
1) Consider a box of mass m sitting on an inclined plane. The inclined plane makes an angle θ with the horizontal and the coefficient of static friction between the box and the surface is μ. What minimal condition must exist if the box is to accelerate down the incline? A) mgsinθ < μFn B) mgsinθ = μFn C) mgsinθ > μFn D) mgcosθ > π 2) You observe a packing crate sliding down a long, inclined ramp at constant...
Two spheres of equal mass M and equal radius R roll down an inclined plane as...
Two spheres of equal mass M and equal radius R roll down an
inclined plane as shown in the figure. One sphere is solid and the
other is a hollow spherical shell. The plane makes an angle ? with
respect to the horizontal. The spheres are released simultaneously
from rest at the top of the inclined plane and they each roll down
the incline without slipping.
The total distance each sphere rolls down the ramp (the
hypotenuse) is d. There...
25. A block of mass 25 kg is sliding down an inclined plane at a speed...
25. A block of mass 25 kg is sliding down an inclined plane at a speed of 5.0 m/s when it passes point A Point A is 5.0 m above the ground. The incline plane makes an angle of 46e above the horizontal. Point B is 1.5 m above the ground The coefficient of kinetic friction is 0.30. Find the speed of the block, in m/s, at point E.
A mass M slides downward along a rough plane surface inclined at angle \Theta\: Θ =...
A mass M slides downward along a rough plane surface inclined at angle \Theta\: Θ = 29.8 in degrees relative to the horizontal. Initially the mass has a speed V_0\: V 0 = 5.32 m/s, before it slides a distance L = 1.0 m down the incline. During this sliding, the magnitude of the power associated with the work done by friction is equal to the magnitude of the power associated with the work done by the gravitational force. What...
3. Prove that tan θ is equal to (Use symbols, not numbers.) when the block slides down the incline with a constant speed. 4. Suppose that the block were made to move up the inclined plane with a uniform speed by suspending masses friction for this case on a string over the pulley. Derive an equation for the coefficient of kinetic in terms of the suspended masses, the mass of the block, and the angle of decline. (Neglect any friction...
Question about #4
Prove that tan theta is equal to mu_k when the block slides down the incline with a constant speed. (Use symbols, not numbers.) If theta is the maximum angle of incline just before the block moves, what is mu_s, in terms of theta? Suppose that the block were made to move up the inclined plane with a uniform speed by suspending masses on a string over the pulley. Derive an equation for the coefficient of kinetic friction...
A mass m = 1 kg slides down a θ = 30◦ inclined plane from a
height of 5 m. At the bottom of the incline, it collides with
another mass M = 3 kg, and the latter is initially at rest as shown
in Fig. 3. The surface to the right of the inclined plane on which
the 3 kg (green) mass sits is horizontal.
(a) The inclined surface is frictionless. Conserve energy to
find the velocity of the...
An object of mass 4.00 kg is sitting at the top of an inclined plane of height h and angle θ with the horizontal. The object slides down the inclined plane and right before it reaches the bottom of the plane, it has speed of 16.0 m/s. Neglect friction. What is the height of the inclined plane?
Two spheres of equal mass M and equal radius R roll down an
inclined plane as shown in the figure. One sphere is solid and the
other is a hollow spherical shell. The plane makes an angle ? with
respect to the horizontal. The spheres are released simultaneously
from rest at the top of the inclined plane and they each roll down
the incline without slipping.
The total distance each sphere rolls down the ramp (the
hypotenuse) is d. There...
25. A block of mass 25 kg is sliding down an inclined plane at a speed of 5.0 m/s when it passes point A Point A is 5.0 m above the ground. The incline plane makes an angle of 46e above the horizontal. Point B is 1.5 m above the ground The coefficient of kinetic friction is 0.30. Find the speed of the block, in m/s, at point E.
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