A block rests on a rough inclined plane ...

A block rests on a rough inclined plane making an angle of `30^@` with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10N, the mass of the block (in kg) is

`2.0`

`4.0`

`1.6`

`2.5`

Text Solution

Verified by Experts

The correct Answer is:

Static friction =component of weight in down ward section
`mg sin theta = 10N`
`m= (10)/(g xxsin30^(@))=(10)/(10xx(1)/(2))=2kg`

Topper's Solved these Questions

NEWTONS LAWS OF MOTION
NARAYNA|Exercise SINGLE ANSWER QUESTIONS|35 Videos
NEWTONS LAWS OF MOTION
NARAYNA|Exercise SINGLE ANSWER QUESTIONS Passage -1|1 Videos
NEWTONS LAWS OF MOTION
NARAYNA|Exercise LEVEL -III|31 Videos
MOTION IN A STRAIGHT LINE
NARAYNA|Exercise Level 2 H.W|29 Videos
OSCILLATIONS
NARAYNA|Exercise EXERCISE - IV|41 Videos

Similar Questions

Explore conceptually related problems

A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and inclined plane is 0.8. If the frictional force on the block is 10 N, the mass of the block is

A block rests on a rought inclined plane making an angle of 30^(@) with horizontal. The coefficient of static friction between the block and inclined plane is 0.8 . If the frictional foerce on the block is 10 N , the mass of the block in kg is (g = 10 m//s^(2))

A block of mass 2kg rests on a rough inclined plane making an angle of 30^@ with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is

A block of mass m slides down an inclined plane which makes an angle theta with the horizontal. The coefficient of friction between the block and the plane is mu . The force exerted by the block on the plane is

A block A of mass 5 sqrt( 4) m rests on a rough horizontal plane relative to which its coefficient of friction is mu A light string attached to this block passes over a light frictionless pulley and another block B of mass m hangs from it. It is observed that the block A just slips when the string makes an angle of 60^(@) with the horizontal . Find the coefficient of static friction between the block A and the plane. If the same force acting through the sting is applied to the block A in the horizontal direction, find the acceleration of the block A.

A block of mass m is placed on a rough plane inclined at an angle theta with the horizontal. The coefficient of friction between the block and inclined plane is mu . If theta lt tan^(-1) (mu) , then net contact force exerted by the plane on the block is :

A block is at rest at the top of a rough inclined plane of inclination 30° with the horizontal. What is the coefficient of kinetic friction between the block and the plane, if the . block slides down with an acceleration of g/5 ?

A block of mass m is placed at rest on an inclination theta to the horizontal.If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

A block of mass m is at rest on a rough inclined plane of angle of inclination theta . If coefficient of friction between the block and the inclined plane is mu , then the minimum value of force along the plane required to move the block on the plane is

NARAYNA-NEWTONS LAWS OF MOTION-NCERT BASED QUESTION

Two billiard balls A and B, each of mass 50 kg and moving in oppsite d...
Text Solution
|
A girl ridding a bicycle along a straight road with a speed of 5 ms^(-...
Text Solution
|
A woman throws and object of mass 500g with a speed of 25ms^(-1). If t...
Text Solution
|
A racing car travels on a track (without banking) ABCDEFA.ABC is a cir...
Text Solution
|
In the co-efficinet of friction between the floor and the body B is 0....
Text Solution
|
A body of mass 10kg is acted upon by two per pendicular forces 6N and ...
Text Solution
|
A helicopter of mass 2000 kg rises with a vertical acceleration of 15m...
Text Solution
|
Mass m(1) moves on a slope making an angle theta with the horizontal a...
Text Solution
|
When body slides down from rest along smooth inclined plane making ang...
Text Solution
|
A rectangular box lies on a rough inclined surface The co-efficient of...
Text Solution
|
The minimum velocity (in ms^(-1)) with which a car driver must travers...
Text Solution
|
A horizontal force of 10N is necessary to just hold a block stationary...
Text Solution
|
A marble block of mass 2 kg lying on ice when given a velocity of 6m//...
Text Solution
|
A car is moving in a circular path of radius 500m with a speed of 30 m...
Text Solution
|
A block rests on a rough inclined plane making an angle of 30^@ with t...
Text Solution
|
A smooth block is released at rest on a 45^(@) incline and then slides...
Text Solution
|
Consider a car moving on a straight road with a speed of 100m//s. The ...
Text Solution
|
The upper half of an inclined plane of inclination 45^(@) is perfectly...
Text Solution
|
A block of mass is placed on a surface with a vertical cross section g...
Text Solution
|
Given in figure are two blocks A and B of weight 20N and 100N, respect...
Text Solution
|