0

Guest

Courses New

consider the inclined plane with an angle 0f 67 degree. The spring constant has a value of 1850 N/m. A 10kg block is pushed against the spring compressing it to 40 cm. The block is then released and the spring expands pushing the block up the plane. the coefficient of kinetic friction between the block and the plane is 0.5. what is the normal force and frictional force acting on the system?

consider the inclined plane with an angle 0f 67 degree. The spring constant has a value of 1850 N/m. A 10kg block is pushed against the spring compressing it to 40 cm. The block is then released and the spring expands pushing the block up the plane. the coefficient of kinetic friction between the block and the plane is 0.5. what is the normal force and frictional force acting on the system?

Grade:12

1 Answers

Deepak Kumar
31 Points
6 years ago
Angle of inclined plane = 67degree.
Spring constant = K = 1850N/m.
Mass of block = M=10kg.
Compressed length = x = 40cm = 0.40m.
Coefficent of Kinetic friction = \upsilon = 0.5.
Spring force = Kx = 1850*0.40 = 740N (towards the inclined plane).
Component of gravitational force towards inclined plane = -Mgsin(670) = -10*9.8*sin(670) = -90.2095N.
Maximum friction force = \upsilonMgcos(670) = 0.5*10*9.8*cos(670) = 19.145825N.
Since spring force is greater than component of gravitational force so friction force is -19.145825N(negative sign indicate that force is opposite to spring force.
Normal force = Mgcos(670) = 38.29165N.
 

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More