(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Question 1

1 A block of mass mb sits atop a at wooden plank of mass mp on a plane inclined an angle theta with respect to thehorizontal. The two are supported near the bottom of the plane by a spring of spring constant k that is in contactwith the plank but not the block. If the coecient of friction between the plank and the plane is µ1 and the coefficent of friction between the block and the plank is µ2 answer the following questions.

a. Find an expression for the maximum compression of the spring such that the plank and block remain at rest.

b. If the spring is compressed three times the amount you found in part (a) find the initial acceleration of theplank and the acceleration of the block given the following values: k = 4025N/m, mp = 1.2kg, mb = 4.3kg, µ1 = 0.12, µ2 = 0:07.

Question 2

A spring of spring constant k is used to swing a mass m around in a circle. The equilibrium length of the spring l0, and when it swings the mass in a horizontal circle it stretches by an amount that is twice the amount it stretcheswhen the mass is just hanging on the spring. Find the velocity at which this happens and the angle that the springmakes with respect to vertical.

2. Relevant equations

F=ma

i know we have to find all the x and y components , but i am really confused with sins and cosines .

3. The attempt at a solution

when i attempted the first my professor kinda laughed at me

for the first question i found Normal force and then plugged it in into friction minus K = ma

i would really appreciate if you guys kindly answer these questions

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two object on top of each other with friction

**Physics Forums | Science Articles, Homework Help, Discussion**