Question
A block of mass m rests on a smooth wedge of mass M,
which in turn rests on a smooth horizontal surface. The wedge is accelerated horizontally with acceleration a. Find the normal force acting on the block by the wedge if the wedge makes an angle θ with the horizontal.Solution
To find the normal force N acting on the block by the wedge, consider the forces in a non-inertial frame attached to the accelerating wedge. In this frame, the block is at rest. The forces acting on the block are:
- Gravity (mg) downwards.
- Normal force (N) perpendicular to the wedge's surface.
- Pseudo force (ma) horizontally to the left.
- Component of mg: mgcosθ (into the wedge).
- Component of ma: masinθ (into the wedge).
- Normal force N (out of the wedge).
In an orchard, the ratio of the number of mango and lichi trees is 4:7, respectively. Also, there are few apple trees in the orchard which is 50% more t...
The length of the each side of an equilateral triangle is 7√3 cm . The area of circumcircle, (cm 2 ) is
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 60 cm² , then the area of ∆EFG is?
A triangular field has sides 13 m, 14 m, and 15 m. A well with a diameter of 7 m is dug outside the field. If the entire soil dug from the well is used ...
The radius of the incircle of a triangle is 8 cm. if the area of the triangle is 56 cm 2 , then its perimeter is?
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
In a triangle PQR, ST is drawn parallel to side QR. If PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
The perimeter of a rectangle is 60 meters. If the length of the rectangle is twice the width, find the area of the rectangle.
In a Pentagon ABCDE, ∠A = 110° and ∠B = 140° and ∠D = ∠E. Side AB and DC were extended and meet at the point P such that ∠BP...
In a quadrilateral PQRS, the bisectors of ∠R and ∠S intersects each other at point 'O'. Find the ∠Q if ∠P = 75o and ∠ROS = 95...
Relevant for Exams:
