Sitting on a horizontal track is a mass of 10kg. One end of the track is raised untill the mass just begins to slip. If the coeffieient of static friction is .4 what is the minimum angle at which the mass begins to slip?
mgSinTheta = mg*mu*CosTheta
(10)(-9.8)sin theta = (10)(-9.8) * (.4) * cos theta
then I got -98 sin theta = -39.2 cos theta
I don't understand how to solve for theta once I got this far.I also wasn't sure what "mu" in the above equation ment.
-98 sin theta = -39.2 cos theta
divide both sides of the equation by cos theta, then
-98 TAN theta = -39.2
solve for Tan Theta, then arcTan Theta.
-98 TAN theta = -39.2
arc tan(-39.2)= -88.5386
-88.5386/-98 =.90345 would become the answer
I don't think I did this correctly...
No. I think you might need a tutor.
-98 TAN theta = -39.2
TAN theta= 39.2/98
Theta= arctan 39.2/98
Answer this Question
A small block of mass m = 1.3 kg slides, without friction, along the loop-the-loop track shown. The block starts from the point P a distance h = 54.0 m above the bottom of the loop of radius R = 19.0 m. What is the kinetic energy of the mass at the point A
- asked by Daniel
- 3,623 views
On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.30 N/cm. The graph in the figure shows the acceleration of the glider as a function of time. Find the mass of the glider. Find the maximum
- asked by Joe
- 10,146 views
The coefficient of kinetic friction for a 22 kg bobsled on a track is 0.20. What force is required to push it down a 6.0° incline and achieve a speed of 64 km/h at the end of 75 m?
- asked by gen
- 7,054 views
A runner runs around a circular track with a radius of 50m.if he runs half way round the track from a to b.am i correct if i say his distance is 100m?
- asked by Pamela
- 1,472 views
The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed v0. On the longer
- asked by Tim
- 657 views
A small glider is placed against a compressed spring at the bottom of an air track that slopes upward at an angle of 38.0 ∘ above the horizontal. The glider has mass 6.00×10−2 kg . The spring has 630 N/m and negligible mass. When the spring is
- asked by Rashid
- 1,993 views
A block starts at rest and slides down a frictionless track except for a small rough area on a horizontal section of the track.It leaves the track horizontally, flies through the air, and subsequently strikes the ground. gravity= 9.81 m/s^2.
- asked by Becky
- 8,760 views
slope of a graph (physics/math)
what would the maximum slope possible for a v vs t graph of acar released from rest on an air track elevated at one end? ~I know the track would be elevated to be straight up since it would have the most angle...but what would the slope value be? would it
- asked by ~christina~
- 528 views
The small mass m sliding without friction along the looped track is to remain on the track at all times, even at the very top of the loop of radius r. (not unlike a roller coaster) A)In terms of the given quantities, determine the minimum release height h.
- asked by annie
- 1,806 views
A glider on an air track is connected by springs to either end of the track. Both springs have the same spring constant,k , and the glider has mass M. A)Determine the frequency of the oscillation, assuming no damping, if k= 125N/m and M= 250g. (I got the
- asked by annie
- 4,172 views
A runner at a track meet completes exactly one lap around a 400 m track What’s the distance and The displacement
- asked by Lilly
- 1,526 views
A race car travels 950 km around a circular sprint track of radius 1.343 km. How many times did it go around the track?
- asked by joy
- 1,016 views
The curves on a race track are banked to make it easier for cars to go around the curves at high speed. Draw a free-body diagram of a car on a banked curve. From the motion diagram, find the direction of the acceleration. The acceleration is directed
- asked by mathew
- 2,900 views
A small 0.70-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the
- asked by jessica
- 308 views
There are 22 events at an indoor track and field meet. the ratio of track events to field events is 8:3. How many of the events are track events?
- asked by robin
- 3,596 views
After a day of testing race cars, you decide to take your own 1570 kg car onto the test track. While moving down the track at 10.0 m/s, you uniformly accelerate to 34.0 m/s in 10 s. What is the average net force that you have applied to the car during the
- asked by Anonymous
- 370 views
VERY URGENT PLEASE HELP!!! A block of mass 493 g is pushed against the spring (located on the left-hand side of the track) and compresses the spring a distance 4.9 cm from its equilibrium position (as shown in the figure below). The block starts from rest,
- asked by Ochi
- 2,198 views
A boy starts at rest and slides down a frictionless slide as in the figure below. The bottom of the track is a height h above the ground. The boy then leaves the track horizontally, striking the ground a distance d as shown. Using energy methods, determine
- asked by Brandon
- 3,709 views
A mass m = 88 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 15.5 m and finally a flat straight section at the same height as the center of the loop (15.5 m off the ground). Since the mass would not make it
- asked by amanda
- 712 views
An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter running track. a) Draw a figure that visually represents the problem. Let x and y represent the length and width
- asked by Abi
- 6,781 views