Chapter 9 – Circular Motion
A body moves on a horizontal circular road of radius r, with a tangential acceleration at. The coefficient of friction between the body and the road surface Is μ. It begins to slip when its speed is v. (i) v^2=μrg (ii) μg=(v^4/r^2)+at) (iii) μ^2g^2=(v^4/r^2+a^2t (iv) The force of friction makes an angle tan^−1(v^2/atr) with the direction of motion at the point of slipping.
22
Oct
A body moves on a horizontal circular road of radius r, with a tangential acceleration at. The coefficient of friction between the body and the road surface Is μ. It begins to slip when its speed is v. (i) v^2=μrg (ii) μg=(v^4/r^2)+at) (iii) μ^2g^2=(v^4/r^2+a^2t (iv) The force of friction makes an angle tan^−1(v^2/atr) with the [...]
A point moves along an arc of a circle of radius R. Its velocity depends on the distance covered s as v=s√, where a is a constant. Find the angle α between the vector of the total acceleration and the vector of velocity as a function of s.
22
Oct
A point moves along an arc of a circle of radius R. Its velocity depends on the distance covered s as v=s√, where a is a constant. Find the angle α between the vector of the total acceleration and the vector of velocity as a function of s. A point moves along an arc of [...]
A particle moves in a circle of radius 30cm. Its linear speed is given by v=2t, where t in second and v in m/s. Find out its radial and tangential acceleration at t=3s.
22
Oct
A particle moves in a circle of radius 30cm. Its linear speed is given by v=2t, where t in second and v in m/s. Find out its radial and tangential acceleration at t=3s. A particle moves in a circle of radius 30cm. Its linear speed is given by v=2t where t in second and v [...]
A car is moving on a circular road of radius 100m. At some instant its speed is 20m/s and is increasing at the rate of 3m/s^2. The magnitude of its acceleration is
22
Oct
A car is moving on a circular road of radius 100m. At some instant its speed is 20m/s and is increasing at the rate of 3m/s^2. The magnitude of its acceleration is A car is moving on a circular road of radius 100m. At some instant its speed is 20m/s and is increasing at the [...]
A ring of radius r and mass per unit length m rotates with an angular velocity ω in a free space. The tension in the ring is:
22
Oct
A ring of radius r and mass per unit length m rotates with an angular velocity ω in a free space. The tension in the ring is: A ring of radius r and mass per unit length m rotates with an angular velocity ω in a free space. The tension in the ring is: October [...]
A rod of length L is pivoted at one end and is rotated with as uniform angular velocity in a horizontal plane. Let T1 and T2 be the tensions at the points L/4 and 3L/4 away from the pivoted ends. 1. T1>T2 2. T2>T1 3. T1=T2 4. The relation between T_1 and T_2` depends on whether the rod rotates clockwise or anticlockwise.
22
Oct
A rod of length L is pivoted at one end and is rotated with as uniform angular velocity in a horizontal plane. Let T1 and T2 be the tensions at the points L/4 and 3L/4 away from the pivoted ends. 1. T1>T2 2. T2>T1 3. T1=T2 4. The relation between T_1 and T_2` depends on [...]
A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is
22
Oct
A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is A uniform rod of mass m and length l rotates in a horizontal plane with [...]
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is
22
Oct
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is A string of [...]
For a particle in a non-uniform accelerated circular motion: (i) Velocity is radial and acceleration is transverse only (ii) Velocity is transverse and acceleration is radial only (iii) Velocity is radial and acceleration has both radial and transverse components (iv) Velocity is transverse and acceleration has both radial and transverse components
22
Oct
For a particle in a non-uniform accelerated circular motion: (i) Velocity is radial and acceleration is transverse only (ii) Velocity is transverse and acceleration is radial only (iii) Velocity is radial and acceleration has both radial and transverse components (iv) Velocity is transverse and acceleration has both radial and transverse components A string of length [...]
If ar and at represent radial and tangential accelerations, the motion of a particle will be uniformly circular if 1. ar=0 and at=0 2. ar=0 but at≠0 3. ar≠0 but at=0 4. ar≠0 but at≠0
22
Oct
If ar and at represent radial and tangential accelerations, the motion of a particle will be uniformly circular if 1. ar=0 and at=0 2. ar=0 but at≠0 3. ar≠0 but at=0 4. ar≠0 but at≠0 If ar and at represent radial and tangential accelerations the motion of a particle will be uniformly circular if 1. [...]