Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2018PhysicsLaws of MotionActual

A block of mass m is placed on a smooth inclined wedge A B C of inclination θ as shown in the figure. The wedge is given an acceleration a towards the right. The relation between a and θ for the block to remain stationary on the wedge is

Options

  1. Aa = g cos ⁡ θ
  2. Ba = s sin ⁡ θ
  3. Ca = g cosce ⁡ θ
  4. Da = g tan ⁡ θ

Correct answer

D. a = g tan ⁡ θ

Step-by-step solution

In non-inertial frame of wedge Using pseudo force, Free body diagram is given as Normal reaction is balanced by m g cos θ Where m is mass of the body, g is the acceleration due to gravity a is the acceleration produced by external force.. m a cos ⁡ θ = m g sin ⁡ θ a = g sin θ cos θ a = g tan ⁡ θ

Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

The magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it, are respectively : 2026A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is 0.12 . Keeping the box in stationary state o 2026A car travels on a circular racetrack of radius 50 m, which is banked at an angle . If the car travels at a speed 10 ms ⁻¹ , then the wear and tear on its tyres is minimum. Taking 2026There are two inclined surface of equal length (L) and same angle of inclination 45^ with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2025A uniform rod of mass 20 kg and length 5 m leans against a smooth vertical wall making an angle of 60^ with it. The other end rests on a rough horizontal floor. The friction force 2025A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at 30^ with the horizontal. The tension in the cord is 30 N . The acceleration of the box is (Take g= 2024A bob is whirled in a horizontal circle by means of a string at an initial speed of 10 rpm. If the tension in the string is quadrupled while keeping the radius constant, the new sp 2024A horizontal force 10 N is applied to a block A as shown in figure. The mass of blocks A and B are 2 kg and 3 kg respectively. The blocks slide over a frictionless surface. The for 2024 Full Laws of Motion list All NEET PYQs